MATH-2414 Calculus II

Ahmad Kamalvand

Credit Fall 2023

Section(s)

MATH-2414-008 (69447)
LEC TuTh 6:00pm - 7:45pm DIL DLS DIL

Course Requirements

Grades

Grade Components

Homework and/or daily quizzes         15%

3 major Exams (each 20%)                60%

Final Exam (comprehensive)             25%

Grading Scale

A         90-100

B         80-89

C         70-79

D         60-69

F          Below 60

Readings

Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing ISBN: 9780134763644

Course Subjects

Week

Material

1

Introduction - 6.1 Velocity and Net Change (Calculus 1) – cover as review the first day?

6.2 Regions Between Curves

2

6.3 Volume by Slicing; 6.4 Volume by Shells

3

6.5 Length of Curves; 6.7 Physical Applications 

4

6.7 Physical Applications continued; 7.3 Hyperbolic Functions (optional)

5

Test 1

8.1 Basic Approaches; 8.2 Integration by Parts

6

8.3 Trigonometric Integrals; 8.4 Trigonometric Substitutions

8.5 Partial Fractions; 8.6 Integration Strategies(**-assign but don’t cover maybe?)

7

8.7 Other Methods of Integration; 8.8 Numerical Integration

8.9 Improper Integrals

8

Test 2

10.1 An Overview; 10.2 Sequences

9

10.3 Infinite Series; 10.4 The Divergence and Integral Tests

10

10.5 Comparison Tests; 10.6 Alternating Series; 10.7 The Ratio and Root Tests 

11

10.8 Choosing a Convergence Test

11.1 Approximating Functions with Polynomials; 11.2 Properties of Power Series

12

11.3 Taylor Series; 11.4 Working with Taylor Series(***I would cover part but not all of this)

13

Test 3

9.1 Basic Ideas; 9.2 Direction Fields and Euler’s Method

14

9.3 Separable Differential Equations; 12.1 Parametric Equations

15

12.2 Polar Coordinates; 12.3 Calculus in Polar Coordinates

16

Review

Test 4

Student Learning Outcomes/Learning Objectives

Upon successful completion of the course, a student should be able to:

  1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
  2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
  3. Define an improper integral.
  4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
  5. Determine convergence or divergence of sequences and series.
  6. Use Taylor and MacLaurin series to represent functions.
  7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
  8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
  9. Use parametric equations to graph curves and find areas and lengths.

Office Hours

Office Hours

Published: 08/20/2023 19:07:55