CSE1004

Calculus and Mathematical Analysis

Core Courses

A comprehensive course in single and multivariable calculus covering limits, differentiation, integration, sequences, series, and vector calculus. Builds the mathematical foundation required for advanced topics in engineering, physics, and computational science.

16 Chapters

Chapters

Understanding Functions and Their Applications

Understanding Limits and Rates of Change

Ch 3

Essential Differentiation Techniques and Applications

15 min

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Ch 4

Analyzing Functions and Optimization with Derivatives

8 min

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Ch 5

Introduction to Integration and the Integral

9 min

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Ch 6

Real-World Uses of Integration and Area Calculations

13 min

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Ch 7

Techniques of Integration

10 min

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Ch 8

Extending Calculus Beyond Geometry

10 min

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Ch 9

Foundations and Applications of Differential Equations

8 min

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Ch 10

Describing Curves with Parameters and Polar Systems

12 min

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Ch 11

Infinite Sequences and Series

13 min

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Ch 12

Working with Vectors in Three Dimensions

14 min

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Ch 13

Using Vector Functions to Describe Curves and Motion in Space

10 min

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Ch 14

Functions of Several Variables and Partial Derivatives

12 min

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Ch 15

Multiple Integrals and Their Applications

10 min

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Ch 16

Introduction to Vector Calculus

15 min

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