MA122 Calculus 1
TBA at the beginning of each semester (no appointment necessary). Feel free to make an appointment if you cannot come to my regular office hours.
No textbook required. Handouts with new material and practice problems will be distributed for each teaching unit. Also Review Sheets will be distributed in class before every exam. The material of this course (as well of Calculus 2 and Calculus 3) matches Calculus by James Stewart.
All students are required to have a graphing calculator. Instructions will be given for TI83/84
Topics Covered1. Limits
2. Infinite Limits, Limits at Infinity, Horizontal and Vertical Asymptotes
3. Continuity. Squeeze Theorem. Applications of Limits
4. The Derivative, the Rate of Change
5. Finding and Using Derivative
6. Higher Derivatives. Differentiability
7. The Product, Quotient, and Chain Rules
8. Derivatives of Exponential, Logarithmic and Trigonometric Functions
9. Linear Approximation. Differentials
10. Implicit Differentiation
11. Related Rates
12. Increasing/Decreasing Test. Extreme Values and the First Derivative Test
13. Concavity and Inflection Points. The Second Derivative Test
14. Absolute Extrema and Constrained Optimization
15. Antiderivatives and the Indefinite Integral
17. Integrals of Exponential and Trigonometric Functions. Integrals Producing Logarithmic Functions
18. Definite Integral. Left and Right Sums
19. Fundamental Theorem of Calculus. The Total Change Theorem.
20. Areas between Curves
Tentative exam datesExam 1: during the 4th week of classes.
Exam 2: during the 7th week of classes.
Exam 3: during the 11th week of classes.
Final Exam: during the finals week.
|Exams 1, 2 and 3||18% each|
Precalculus or permission of instructor
This is a rigorous course. You should plan to spend a minimum of twice the number of class hours on reading, homework assignments, and practice problems. The assigned homework is the minimum amount of practice you should complete. It is your responsibility to come to class prepared to ask questions on any covered concept.
AttendanceIt is imperative that students attend all classes. Students are responsible for all material covered in class, even if attendance is not checked or assignments collected.
ExamsThere will be three in-class exams plus a two hour comprehensive final exam. No makeup exam will be given unless the excuse for missing the scheduled exam is acceptable to the instructor. Any makeup exam must be taken before the next regularly scheduled exam. No exam grade will be dropped.
Assignments and ProjectsThere will be four homework assignments and three Matlab projects. There will be no makeup assignments. Assignments or projects turned in after their due date will receive an automatic reduction in grade. No assignment and project grade will be dropped.
- to obtain a well rounded introduction to the area of limits, differentiation and basic integration techniques;
- to develop basic knowledge of calculus problem formulation, problem solving and modeling techniques required for successful application of mathematics;
- to competently use the appropriate technology to model data, implement mathematical algorithms and solve mathematical problems;
- to cultivate the analytical skills required for the efficient use and understanding of mathematics.
Learning outcomesStudents will:
- know the basic concepts of differential and integral calculus;
- demonstrate the proficiency in differentiation and integration techniques;
- be able to interpret and critique graphs using calculus techniques;
- be able to understand and solve multidisciplinary application problems using calculus;
- demonstrate a proficiency in using mathematical software;
- know how to use appropriate technology to solve problems applying calculus techniques.