# Math 1131 Learning Activities (Spring 2023)

Section Topic Learning Activities Section Concept Guide

(Extra Practice – Not Collected or Graded)

Review Applications of Logarithms

Algebra Worksheet

2.1 The Tangent and Velocity Problems Overview of Calculus

Week 1 Worksheet

section2_1

Solutions

2.2 The Limit of a Function Applications of Limits section2_2

Solutions

2.3 Calculating Limits Using the Limit Laws Week 2 Worksheet section2_3

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2.4 The Precise Definition of a Limit section2_4

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2.5 Continuity Applications of Continuity section2_5

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2.6 Limits at Infinity; Horizontal Asymptotes section2_6

Solutions

2.7 Derivatives and Rates of Change Applications of Derivatives

Week 3 Worksheet

section2_7

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2.8 The Derivative as a Function section2_8

Solutions

3.1  Derivatives of Polynomials and Exponential Functions Application: Curve Fitting

Week 4 Worksheet

section3_1

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3.2 The Product and Quotient Rules section3_2

Solutions

3.3 Derivatives of Trigonometric Functions Application: Small-Angle Approximation

Week 5 Worksheet

section3_3

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3.4 The Chain Rule section3_4

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3.5 Implicit Differentiation Application: Implicit Differentiation section3_5

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3.6 Derivatives of Logarithmic Functions Week 6 Worksheet

Chain Rule Practice Problems

section3_6

Solutions

3.8 Exponential Growth and Decay Application: Exponential Growth and Decay section3_8

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3.9 Related Rates Week 7 Worksheet section3_9

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3.10 Linear Approximations and Differentials section3_10

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4.1 Maximum and Minimum Values Week 8 Worksheet section4_1

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4.2 Mean Value Theorem section4_2

Solutions

4.3 How Derivatives Affect the Shape of a Graph Notes and Examples: Extrema and Graphs

Week 9 Worksheet

section4_3

Solutions

4.4 Indeterminate Forms and l’Hospital’s Rule section4_4

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4.7 Optimization Problems Application: Optimization (part 1) Application: Optimization (part 2)

Week 10 Worksheet

section4_7

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4.8 Newton’s Method Application: Newton’s Method section4_8

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4.9 Antiderivatives Week 11 Worksheet section4_9

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5.1 Areas and Distances Riemann Sums Interactive Tool section5_1

Solutions

5.2 The Definite Integral Application: Definite Integrals section5_2

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5.3 The Fundamental Theorem of Calculus Week 12 Worksheet section5_3

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5.4 Indefinite Integrals and the Net Change Theorem section5_5

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5.5 The Substitution Rule Week 13 Worksheet section5_4

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6.1 Areas Between Curves section6_1

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6.2 Volumes Week 14 Worksheet section6_2

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