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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.

• 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.

1. Students will understand properties of elementary functions
2. Students will be able to find limits.
3. Students will understand the concepts of continuity and differentiability
4. Students will be able to symbolically compute derivatives.
5. Students will be able to find derivatives graphically and numerically.
6. Students will be able to solve optimization problems
7. Students will be able to solve related rates problems
8. Students will understand local linearity
9. Students will understand the geometric interpretation of the integral
10. Students will understand Riemann Sums.
11. Students will be able to integrate basic functions.
12. Students will be able to use the fundamental theorem of calculus.
13. Students will be prepared for Math 1520, Math 2660, Math 4410, and Math 4430.

Chapter 1: Precalculus Review
Chapter 2: Limits
Chapter 3: Differentiation
Chapter 4: Applications of the Derivative
Chapter 5: Integration

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 1: Monday, September 16
Test 2: Wednesday, October 16
Test 3: Monday, November 25
Final: Wednesday, December 11 at 12:00 p.m.

WARNING: Do NOT make travel arrangements that conflict with these test and exam dates. Alert your family to your test and exam schedule! Note particularly the date of Test 3 (the Monday of Thanksgiving week).