Dual Enrollment Program DE Course: Math 1540 Integral Calculus

Math 1540 covers integrals of algebraic, exponential, logarithmic, and trigonometric functions, with applications.

This is an LSU Integrative Learning Core (ILC) course that awards general education credit. Math 1530 and Math 1540 together cover the material of LSU Math 1550. LSU credit will not be given for this course and Math 1431, Math 1550, or Math 1551.

Note: Math 1540 is designed for students who already have credit in Math 1530. Students will need only one MyLab Math access code for this sequence.

Topics & Objectives

Math 1540 Integral Calculus Course Profile
NameLast Modified
Math 1540 Integral Calculus COURSE PROFILE [docx]2026-06-26
Math 1540 Integral Calculus COURSE PROFILE [pdf]2026-06-30

Syllabus & Pacing Guide

Math 1540 Integral Calculus Syllabus & Pacing Guide
NameLast Modified
S26 Math 1540 DE Syllabus [docx]2025-12-10
S26 Math 1540 DE Pacing Guide [docx]2026-01-04

Class Notes

Math 1540 Integral Calculus Class Notes
NameLast Modified
4.2 Mean Value Theorem [docx]2026-05-09
4.5 Optimization Problems [docx]2026-05-09
4.6 Linear Approximations and Differentials [docx]2026-05-09
4.7 L'Hôpital's Rule [docx]2026-05-09
4.8 Newton's Method [docx]2026-05-09
4.9 Antiderivatives [docx]2026-05-09
5.1 Approximating Areas under Curves [docx]2026-05-09
5.2 Definite Integrals [docx]2026-05-09
5.3 Fundamental Theorem of Calculus [docx]2026-05-09
5.4 Working with Integrals [docx]2026-05-09
5.5 Substitution Rule [docx]2026-05-09
6.1 Velocity and Net Change [docx]2026-05-09
6.2 Regions Between Curves [docx]2026-05-09
6.3 Volume by Slicing [docx]2026-05-09
6.4 Volume by Shells [docx]2026-05-09
6.5 Length of Curves [docx]2026-05-09
6.7 Physical Applications [docx]2026-05-09

Videos

Section 4.2: Mean Value Theorem

Section 4.5: Optimization Problems

Section 4.6: Linear Approximations and Differentials

Section 4.7: L'Hôpital's Rule

Section 5.1: Approximating Areas Under Curves

Section 5.2: Definite Integrals

Section 5.3: Fundamental Theorem of Calculus

Section 5.4: Working with Integrals

Section 5.5: Substitution Rule

Section 6.2: Area Between Curves

Section 6.3: Volume by Slicing

Section 6.4: Volume by Shells