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General Course Information
Undergraduate Catalog Description: Functions; continuity; limits; the derivative; differentiation from graphical, numerical and analytical viewpoints; optimization and modeling; rates and related rates; the definite integral; antiderivatives from graphical, numerical and analytical viewpoints. 4 credit hours. Prerequisite: MATH 1400 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 calculus, particularly of differentiation and of integration.
- 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 understand properties of elementary functions
- Students will be able to find limits.
- Students will understand the concepts of continuity and differentiability
- Students will be able to symbolically compute derivatives.
- Students will be able to find derivatives graphically and numerically.
- Students will be able to solve optimization problems
- Students will be able to solve related rates problems
- Students will understand local linearity
- Students will understand the geometric interpretation of the integral
- Students will understand Riemann Sums.
- Students will be able to integrate basic functions.
- Students will be able to use the fundamental theorem of calculus.
- Students will be prepared for Math 1520, Math 2660, Math 4410, and Math 4430.
Topics Covered
Chapter 1: Precalculus Review
Chapter 2: Limits
Chapter 3: Differentiation
Chapter 4: Applications of the Derivative
Chapter 5: Integration
Assessment
1. | Attendance | 10% |
2. | Online homework | 10% |
3. | Gateway Exam | 10% |
4. | Section quizzes (best 36 of 39 scores count) | 10% |
5. | Tests | 36% |
6. | Final examination | 24% |
There will be a short section quiz after each section is completed in class.
There will be a Gateway exam (a skill mastery test) on differentiation in November, with up to four attempts permitted; a score of at least 90% must be obtained to gain full credit. The first attempt is in class on Friday November 1.
Important: the dates listed below are subject to adjustment, for example, for unexpected/unpredictable events.
Test Schedule
Test 1: Monday, September 16
Test 2: Wednesday, October 16
Test 3: Monday, November 25
Final: Wednesday, December 11 at 12:00 p.m.