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General Course Information
Undergraduate Catalog Description: Symbolic and numerical techniques of integration, improper integrals, applications of the definite integral, sequences and series, power series, Taylor series, differential equations. 4 credit hours. Prerequisite: MATH 1510 with a grade of "C-" or higher.
Important (for students): the official class syllabus is available on Canvas. Read it.
Text: Jon Rogawski, Colin Adams and Robert Franzosa, Calculus - Early Transcendentals (Fourth Edition), MacMillan, 2019.
Course Goals
- Develop a thorough understanding of the concepts and techniques of integration, sequences and series (including power and Taylor series), and a developing understanding of differential equations.
- Further develop the ability to apply your knowledge of calculus to solve unfamiliar problems.
- Develop skills for working effectively with others on mathematics problems, including the ability to clearly and correctly communicate mathematics in writing and verbally.
Student Learning Objectives
- Students will be able to symbolically integrate functions using a variety of techniques.
- Students will be able to find integrals numerically.
- Students will be able to determine if an improper integral converges or diverges.
- Students will be able to compute volumes of rotation.
- Students will be able to apply their knowledge of integration in an applied setting.
- Students will be able to compute Taylor and Maclaurin polynomials.
- Students will be able to determine if a sequence converges or diverges.
- Students will be able to determine if a series converges or diverges.
- Students will be able to solve simple differential equations.
- Students will be prepared for Math 2530, Math 3110, Math 3240, Math 3760, Math 4050, Math 4650, and Math/Stat 3850.
Topics Covered
Chapter 5: Integration (Sections 5.7 and 5.8)
Chapter 6: Applications of the Integral
Chapter 7: Techniques of Integration
Chapter 8: Further Applications of the Integral
Chapter 9: Introduction to Differential Equations (Sections 9.1-9.3)
Chapter 10: Infinite Series
Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections (Sections 11.1-11.4)
Assessment
| 1. | Attendance | 10% |
| 2. | Online homework | 10% |
| 3. | Section quizzes (best 34 of 37 scores count) | 10% |
| 4. | Tests | 42% |
| 5. | Final examination | 28% |
There will be a short section quiz after each section is completed in class.
Important: the dates listed below are subject to adjustment, for example, for unexpected/unpredictable events.
Test Schedule
Test 1: Tuesday, February 4
Test 2: Wednesday, March 5
Test 3: Tuesday, April 15
Final: Wednesday, May 7 at 12:00 p.m.