MA122 Calculus 1

Syllabus

handouts syllabus pdf flier

Office Hours

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.

Textbook

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.

Technology

All students are required to have a graphing calculator. Instructions will be given for TI83/84

Topics Covered

1. 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
(Exam 1)

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
(Exam 2)

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
(Exam 3)

15. Antiderivatives and the Indefinite Integral
16. Substitution
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 dates

Exam 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.

Grading

Exams 1, 2 and 318% each
Final Exam24%
Assignments11%
Projects11%
TOTAL100%
Grades are computed according to the following system:
A+ A A- B+ B B- C+ C C- D+ D D- F
grade 97-100 93-96 90-92 87-89 83-86 80-82 77-79 73-76 70-72 67-69 63-66 60-62 0-59

Prerequisites

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.

Attendance

It 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.

Exams

There 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 Projects

There 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.

Course Objectives

  • 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 outcomes

Students 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.

Academic integrity

Academic integrity is at the center of the educational experience at USciences. Students are therefore expected to uphold the highest standards of academic integrity and not engage in or tolerate academic dishonesty. Academic dishonesty includes, but is not limited to, fabrication, cheating or plagiarism. Any violation of academic integrity will be investigated and, where warranted, the student will receive appropriate sanctions through the University's Student Conduct Process. Please familiarize yourself with the current USciences Student Handbook. Adheren ce to the Student Conduct Policy and Academic Integrity Policy will help to ensure that your learning and living experiences are founded on integrity.

Americans with Disabilities Act (ADA) Compliance Statement

USciences supports the educational endeavors of all students, including students with disabilities. ADA defines a disability as a mental or physical impairment that substantially limits one or more major life activities. If you believe that you have a disability that may impact your ability to fulfill your course or degree requirements, and you would like more information on applying for an accommodation under ADA, please contact the Administrator of Student Accommodations at 215-596-8758.