# Math 1131 Learning Activities (Spring 2020)

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. You can find more electronic resources such as flashcards and clicker questions under the Online Resources tab.

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 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

Midterm 1 (Sections 2.1 – 2.3, 2.5 – 2.8, 3.1) Exam 1 Practice Problems (Solutions)
3.1  Derivatives of Polynomials and Exponential Functions Application: Curve Fitting section3_1

Solutions

3.2 The Product and Quotient Rules Video

Week 4 Worksheet

section3_2

Solutions

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

Week 5 Worksheet

section3_3

Solutions

3.4 The Chain Rule Video section3_4

Solutions

3.5 Implicit Differentiation Video, Application: Implicit Differentiation section3_5

Solutions

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

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

Solutions

Midterm 2 (Sections 3.2 – 3.6, 3.8 – 3.10, 4.8) Exam 2 Practice Problems

4.1 Maximum and Minimum Values Video

Week 8 Worksheet

section4_1

Solutions

4.2 Mean Value Theorem Video

Week 9 Worksheet

section4_2

Solutions

4.3 How Derivatives Affect the Shape of a Graph Video AVideo B section4_3

Solutions

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

Solutions

4.7 Optimization Problems Video, Application: Optimization

Week 10 Worksheet

section4_7

Solutions

4.9 Antiderivatives section4_9

Solutions

5.1 Areas and Distances Video, Riemann Sums Applet

Week 11 Worksheet

section5_1

Solutions

5.2 The Definite Integral Video, Application: Definite Integrals section5_2

Solutions

5.3 The Fundamental Theorem of Calculus Video section5_3

Solutions

Midterm 3 (Sections 4.1 – 4.4, 4.7, 4.9, 5.1 – 5.3) Exam 3 Practice Problems

5.4 Indefinite Integrals and the Net Change Theorem Week 12 Worksheet 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 Final Exam Practice Problems

Solutions