1. Northern Michigan University MA161
Calculus I Fall 2018
Northern Michigan University
MA161

2. MA265 Syllabus Class Meeting Hours
Monday/Tuesday/Wednesday/Thursday 8:00 – 8:50 am / 9:00 – 9:50 am, LRC 235A
Instructor
Roxin Zhang Office: New Jamrich 2208
Office Hours
MWRF 11:00 – 11:50 am
Computer and Calculator Requirements
A computer with Maple installed (mandatory, install in a few weeks) A scientific calculator is needed for daily in-class use.

3. MA265 Syllabus Prerequisite (any one of the following)
A. A C- or better from MA115 Pre-Calculus;
B. Recommendation from NMU Math Placement Test
Text Book
Calculus – Single Variable Calculus with Early Transcendentals,
8Ed, by James Stewart
Tests and Quizzes
5 – 6 bi-weekly quizzes/projects
One midterm exam (time TBD)
One final exam (see NMU website for schedule)

4. MA265 Syllabus Grading Quizzes/projects 50% Midterm exam 20%
Final exam 25%
Attendance 5%
The semester grades will be calculated as a weighted average.
Homework
Homework will be assigned in each lecture. Students must work on homework problems to learn the subject matter. Homework will not be collected.
Group studies are recommended and questions are also encouraged.

5. MA265 Syllabus Main Contents Main contents Limits and derivatives
Differentiation rules
Applications of differentiation
Integrals
Application of integration
Techniques of integration

6. MA265 Syllabus Learning Outcomes
By completing the course, students will learn the fundamental concepts in single variable calculus, including limits, derivatives and integrals; will understand the basic properties of limits and derivatives and their applications in natural and social sciences, will learn a set of integration techniques and be able to solve many application problems by applying these techniques.

7. MA265 Syllabus Why do we need calculus?
Example. How to define areas and volumes?

8. MA265 Syllabus
Example. How to define areas and volumes?

9. MA265 Syllabus Example. How far did a car travel for 2 hours?
If a vehicle moves a constant velocity for 2 hours, then the distance traveled is
𝑑=𝑣𝑡=60 mph ∗2 hr =120 miles
However, what is the vehicle’s velocity is keep changing?
𝑣 (mph)
𝑣 (mph) 60 60
𝑡 (hr)
𝑡 (hr) 2 2

10. MA265 Syllabus Other Examples Example. Rate of change Example. Work
If the force 𝐹 is constant, then 𝑊=𝐹∗𝑑
What is 𝐹 is not constant?

11. Note: Course materials will be put on educat.nmu.edu