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MAC2233 - Survey of Calculus I

Survey of Calculus I specifically designed for University of Florida students. Covers limits, derivatives, and introduction to integration with applications to business, economics, life and social sciences.

About This Course

Duration

16 weeks

Level

Beginner to Intermediate

Prerequisites

MAC1140 (Precalculus Algebra) or MAC1147 (Precalculus) with grade of C or better

Last Updated

April 2025

Zachary Wilkerson

Zachary Wilkerson

Math Professor

10+ years of experience teaching Calculus. MS in Engineering from UF.

4.8(89 reviews)
425 students enrolled
Subscribe to Unlock Full Course

Course Content

Unit 1: Precalculus Review and Needs Assessment

1. Function Review

Study

2. Algebraic Skills Assessment

Study

3. Graphing and Function Behavior

Study

Unit 2: Limits

1. Introduction: What is a Limit?

Study

2. Geometric and Analytic Views of Limits

Study

3. One-Sided Limits

Study

4. Limit Laws

Study

5. Continuity and IVT

Study

6. Limits at Infinity and Asymptotes

Study

7. Instantaneous Velocity

Study

Unit 3: Theory of Derivatives

1. Definition of the Derivative

Study

2. Derivatives as Functions

Study

3. Review - Quiz 4

Study

4. Review - Quiz 5

Study

5. Review - Quiz 6

Study

6. Review - Quiz 7

Study

7. Basic Differentiation Rules

Study

8. Product Rule

Study

9. Quotient Rule

Study

10. Chain Rule

Study

11. Implicit Differentiation

Study

12. Logarithmic Differentiation

Study

13. Review - Exam 2

Study

Unit 4: Applications of Derivatives

1. Finding Extrema of Functions

Study

2. Inflection Points and Curvature

Study

3. Extreme Value Theorem

Study

4. Curve Sketching

Study

5. Linear Approximation

Study

6. Related Rates

Study

7. Optimization Problems

Study

Unit 5: Integration

1. Antiderivatives of Core Functions

Study

2. Area Under the Curve

Study

3. Riemann Approximation

Study

4. Definite and Indefinite Integrals

Study

5. Fundamental Theorem of Calculus

Study

6. U-Substitution

Study

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