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Differential and Integral Calculus

Caucasian student writing at table in classroom
MATH XL 31A

This course is the first of the Calculus series and covers differential calculus and applications and the introduction to integration. The course prepares students for Math XL 31B as well as Chemistry and Physics.

Typically Available
Fall
Winter
Spring
Summer
Duration
As few as 10 weeks
Units
4.0
Current Formats
Live Online
In Person
Cost
Starting at $1,225.00

Get More Info

 

What you can learn.

Establish a solid introduction to differential and integral calculus in one variable
Acquire mathematical tools to apply to subsequent courses in math, sciences, or economics
Find and use derivatives
Solve applied and optimization problems
Find anti-derivatives of various algebraic and trigonometric functions
Use fundamental theorems of calculus
Use integrals to solve various applied problems

About This Course

This course covers differential calculus, its applications and the introduction to integration. Transferable for UC credit.
Prerequisites
MATH XL 1 Precalculus with a grade of "C-" or better, or three-and-a-half years of high school mathematics, including some coordinate geometry and trigonometry.

Summer 2026 Schedule

Date
Details
Format
 
-
Friday 6:30PM - 9:30PM PT
Instructor:
Armenuhi Barakezyan
REG#
408781
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

No lecture on July 4, 2025.

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: June 28, 2026 11:59 PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from April 27, 2026 to July 05, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Fri Jun 26, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Jul 3, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Jul 10, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Jul 17, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Jul 24, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Jul 31, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Aug 7, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Aug 14, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Aug 21, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Aug 28, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
Lecture
Fri Sep 4, 2026
6:30PM PT - 9:30PM PT
Remote Classroom
-
Saturday 9:00AM - 12:00PM PT
Instructor:
Armenuhi Barakezyan
REG#
408780
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: June 28, 2026 11:59 PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam.

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from April 27, 2026 to July 05, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Sat Jun 27, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Jul 4, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Jul 11, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Jul 18, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Jul 25, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Aug 1, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Aug 8, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Aug 15, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Aug 22, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Aug 29, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
Lecture
Sat Sep 5, 2026
9:00AM PT - 12:00PM PT
Remote Classroom
-
Saturday 11:00AM - 2:00PM PT
Instructor:
REG#
408779
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: June 28, 2026 11:59 PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam.

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from April 27, 2026 to July 05, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Sat Jun 27, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Jul 4, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Jul 11, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Jul 18, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Jul 25, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Aug 1, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Aug 8, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Aug 15, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Aug 22, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Aug 29, 2026
11:00AM PT - 2:00PM PT
Remote Classroom
Lecture
Sat Sep 5, 2026
11:00AM PT - 2:00PM PT
Remote Classroom

Fall 2026 Schedule

Date
Details
Format
 
-
Tuesday 6:00PM - 10:00PM PT
REG#
409807
Fee:
$1,225.00
In Personformat icon
UCLA
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: September 27, 2026 11:59 PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from July 27, 2026 to October 04, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Tue Sep 22, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Sep 29, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Oct 6, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Oct 13, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Oct 20, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Oct 27, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Nov 3, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Nov 10, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Nov 17, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
Lecture
Tue Nov 24, 2026
6:00PM PT - 10:00PM PT
UCLA
School of Public Affairs Bldg. 2278
-
Friday 6:00PM - 10:00PM PT
REG#
409808
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: September 27, 2026 11:59PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam.

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from July 27, 2026 to October 04, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Fri Sep 25, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Oct 2, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Oct 9, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Oct 16, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Oct 23, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Oct 30, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Nov 6, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Nov 13, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Nov 20, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Nov 27, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Fri Dec 4, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
-
Saturday 9:00AM - 1:00PM PT
REG#
409810
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: September 27, 2026 11:59PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam.

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from July 27, 2026 to October 04, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Sat Sep 26, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Oct 3, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Oct 10, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Oct 17, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Oct 24, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Oct 31, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Nov 7, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Nov 14, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Nov 21, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
Lecture
Sat Nov 28, 2026
9:00AM PT - 1:00PM PT
Remote Classroom
-
Thursday 6:00PM - 10:00PM PT
REG#
409813
Fee:
$1,225.00
Live Onlineformat icon
Remote Classroom
Updating...
Notes

Students who are not qualified to take this course should enroll in MATH XL 1 Precalculus.

Enrollment/class participation contingent on completing the ALEKS placement exam.

Visitors not permitted. Enrollment deadline: September 27, 2026 11:59PM. Internet access required. Materials required.

Students enrolling in this course need to complete the math placement exam before the first class. Please sign up for the math placement exam http://www.aleks.com/sign_up/class?class_code=DGXAY-LLNLE Each student will be charged a $20 fee (non-refundable) which covers 12 months of access to the Prep and Learning Module, which is a resource for refreshing your math skills.

Exam Length: 30 Questions

Time: You should plan to complete the placement exam within an uninterrupted 2-hour sitting.

    • If you score 80% or higher, we recommend that you enroll in Calculus MATH XL 31A
    • If you score between 60% - 79%, we recommend that you enroll in Pre-Calculus MATH XL 1
    • If you score less than 60%, we recommend that you enroll in an algebra course

After taking the placement exam, you are given the opportunity to review certain topics through targeted learning exercises in the Prep and Learning Module.

Retake the exam, if necessary

  • After engaging with the Prep and Learning Module for at least 3 hours, you can take the placement exam again
  • The retake exam will become available 24 hours after the initial exam was completed.
  • You will have access to the Prep and Learning Module for 12 months after taking the initial exam.

Enrollment is typically reserved for adult students 18 years of age and older. Students under 18 years of age may receive consent to enroll based on special academic competence and approval by the instructor. If you are a student under 18 years of age, you must submit a request to enroll in the course 8 weeks before the course start date to hss@uclaextension.edu for your request to be considered.

Deadline
Refunds only available from July 27, 2026 to October 04, 2026
Course Requirements
Internet access required to retrieve course materials.
Book: SINGLE VARIABLE CALCULUS by ROGAWSKI
Schedule
Type
Date
Time
Location
Lecture
Thu Sep 24, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Oct 1, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Oct 8, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Oct 15, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Oct 22, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Oct 29, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Nov 5, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Nov 12, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Nov 19, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Nov 26, 2026
6:00PM PT - 10:00PM PT
Remote Classroom
Lecture
Thu Dec 3, 2026
6:00PM PT - 10:00PM PT
Remote Classroom

This course applies toward the following programs

certificate Boost your academic foundation to pursue a career change, apply to a health/professional program or enhance your knowledge in the sciences. Earned credits in this rigorous post-baccalaureate certificate program are transferable to UC and Cal State campuses, as well as other universities nationwide (some limitations may apply). Federal financial aid is available.

Boost your academic foundation to pursue a career change, apply to a health/professional program or enhance your knowledge in the sciences. Earned credits in this rigorous post-baccalaureate certificate program are transferable to UC and Cal State campuses, as well as other universities nationwide (some limitations may apply). Federal financial aid is available.