# Math 1131 Learning Activities (Spring 2021)

Note: You can ignore the section numbers in the videos as they were created for a previous version of the text – the topics are still consistent.

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 Video, Slides to Accompany Video, Overview of Calculus, Applications of Tangent Lines

Week 1 Worksheet

section2_1

Solutions

2.2 The Limit of a Function Applications of Limits, Video section2_2

Solutions

2.3 Calculating Limits Using the Limit Laws Video

Week 2 Worksheet

section2_3

Solutions

2.4 The Precise Definition of a Limit Video, Section 2.4 Activity section2_4

Solutions

2.5 Continuity Applications of Continuity, Video section2_5

Solutions

2.6 Limits at Infinity; Horizontal Asymptotes Video section2_6

Solutions

2.7 Derivatives and Rates of Change Applications of Derivatives, Video

Week 3 Worksheet

section2_7

Solutions

2.8 The Derivative as a Function Video section2_8

Solutions

3.1  Derivatives of Polynomials and Exponential Functions Application: Curve Fitting

Week 4 Worksheet

section3_1

Solutions

3.2 The Product and Quotient Rules Video section3_2

Solutions

3.3 Derivatives of Trigonometric Functions Video, Application: Small-Angle Approximation section3_3

Solutions

3.4 The Chain Rule Video

Week 5 Worksheet

section3_4

Solutions

3.5 Implicit Differentiation Video, Application: Implicit Differentiation section3_5

Solutions

Exam 1 (Sections 2.1-2.3, 2.5-2.8, 3.1-3.5) Practice problems and solutions will be available under the Exam Info tab as the exam date approaches
3.6 Derivatives of Logarithmic Functions Week 6 Worksheet section3_6

Solutions

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

Solutions

3.9 Related Rates Week 7 Worksheet section3_9

Solutions

3.10 Linear Approximations and Differentials section3_10

Solutions

4.1 Maximum and Minimum Values Video

Week 8 Worksheet

section4_1

Solutions

4.2 Mean Value Theorem Video section4_2

Solutions

4.3 How Derivatives Affect the Shape of a Graph Video AVideo B

Week 9 Worksheet

section4_3

Solutions

4.4 Indeterminate Forms and l’Hospital’s Rule Video section4_4

Solutions

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

Week 10 Worksheet

section4_7

Solutions

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

Solutions

4.9 Antiderivatives Week 11 Worksheet section4_9

Solutions

Exam 2 (Sections 3.6, 3.8-3.10, 4.1-4.4, 4.7-4.8) Practice problems and solutions will be available under the Exam Info tab as the exam date approaches
5.1 Areas and Distances Video, Riemann Sums Applet section5_1

Solutions

5.2 The Definite Integral Video, Application: Definite Integrals

Week 12 Worksheet

section5_2

Solutions

5.3 The Fundamental Theorem of Calculus Video section5_3

Solutions

5.4 Indefinite Integrals and the Net Change Theorem section5_4

Solutions

5.5 The Substitution Rule Video

Week 13 Worksheet

section5_5

Solutions

6.1 Areas Between Curves Video section6_1

Solutions

6.2 Volumes Video AVideo B

Week 14 Worksheet

section6_2

Solutions

Final Exams week Practice problems and solutions will be available under the Exam Info tab as the exam date approaches