Dual Enrollment Program DE Course: Math 1530 Differential Calculus

Math 1530 Differential Calculus covers limits and derivatives 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 1530 is designed for students who plan to major in a STEM field that requires calculus. This course fits better in the high school setting than a one-semester five-credit-hour calculus course because it is a three-credit-hour course that has content which can reasonably be covered in one semester. This course is taught in the fall followed by Math 1540 in the spring of the same school year. Students will need only one MyLab Math access code for this sequence.

Topics & Objectives

Math 1530 Differential Calculus Course Profile
NameLast Modified
Math 1530 Differential Calculus COURSE PROFILE [docx]2026-06-26
Math 1530 Differential Calculus COURSE PROFILE [pdf]2026-06-30

Syllabus & Pacing Guide

Math 1530 Differential Calculus Syllabus & Pacing Guide
NameLast Modified
F26 Math 1530 DE Syllabus [docx]2026-05-19
F26 Math 1530 DE Pacing Guide [docx]2026-05-19

Class Notes

Math 1530 Differential Calculus Class Notes
NameLast Modified
2.1 The Idea of Limits [docx]2019-07-12
2.2 Definitions of Limits [docx]2019-07-12
2.3 Techniques for Computing Limits [docx]2019-07-12
2.4 Infinite Limits [docx]2019-07-12
2.5 Limits at Infinity [docx]2019-07-12
2.6 Continuity [docx]2019-07-12
3.1 Introducing the Derivative [docx]2019-07-12
3.2 Working with Derivatives [docx]2019-07-12
3.3 Rules of Differentiation [docx]2019-07-12
3.4 The Product and Quotient Rules [docx]2019-07-12
3.5 Derivatives of Trigonometric Functions [docx]2019-07-12
3.6 Derivatives as Rates of Change [docx]2019-07-12
3.7 The Chain Rule [docx]2019-07-12
3.8 Implicit Differentiation [docx]2019-07-12
3.9 Derivatives of Logarithmic and Exponential Functions [docx]2019-07-12
3.10 Derivatives of Inverse Trigonometric Functions [docx]2019-07-12
3.11 Related Rates [docx]2019-07-12
4.1 Maxima and Minima [docx]2019-07-12
4.3 What Derivatives Tell Us [docx]2019-07-12
4.4 Graphing Functions [docx]2019-07-12

Videos

Sections 2.2 and 2.3: Introduction to Limits

Sections 2.4 and 2.5: Infinite Limits and Limits at Infinity

Section 2.6: Continuity

Sections 3.1 and 3.2: Definition of Derivative

Section 3.3: Rules of Differentiation

Section 3.4: Product and Quotient Rules

Section 3.5: Derivatives of Trigonometric Functions

Section 3.7: Chain Rule

Section 3.8: Implicit Differentiation

Section 3.11: Related Rates

Section 4.1: Maxima and Minima

Section 4.3: What Derivatives Tell Us

Section 4.4: Graphing Functions