Math 161 - Calculus for Engineering 1

M Th 2:30 - 4:00 pm
SCB 4301

Instructor: Nattapol Ploymaklam

Office: SCB 2306

Office Hours: M Th 4:00-5:00 pm, or by appointment

Email: nploymaklam@gmail.com

Textbook: Thomas' Calculus 12th Edition, Early Transcendentals

Page: (Thai sections) www.facebook.com/calculus161.cmu
(English section) https://www.facebook.com/calculus161inter.cmu

Topics

1. Derivative of functions of one variable and applications

1.1 Review of limits and continuous functions

1.2 Derivative of functions of one variable

1.3 Interpretations of derivatives in geometry, physics and engineering

1.4 Differentiation formulas for elementary functions and chain rule

1.5 Derivative of implicit functions

1.6 Higher derivatives

1.7 Differentials and applications

1.8 Applications of derivatives

- Approximation of solutions by Newton’s method

- Taylor series expansion of elementary functions, and approximation

- Indeterminate forms and l’Hospital’s rule

- Mean-value theorem

- Extreme values of functions

- Related rates

Midterm Exam: October 11, 2014 from 12:00 to 3:00 pm.

2. Indefinite and definite integrals and applications

2.1 Indefinite integrals

2.2 Techniques of integration

- Integration by substitutions

- Integration by parts

- Integration of trigonometric functions

- Integration by trigonometric substitutions

- Integration by partial fractions

2.3 Definite integrals

- Riemann sum and area under a curve

- The first fundamental theorem of calculus

- Properties of definite integral; Mean-value theorem

- The second fundamental theorem of calculus

2.4 Applications

- Areas between curves

- Volume of solids of revolution

- Arc length of plane curves

- Numerical integration

2.5 Improper integrals

- Definition and examples of improper integrals;

- Gamma function, Beta function, and Laplace transformation

Final Exam: December 9, 2014 from 12:00 to 3:00 pm.

Grading

Exercises, quizzes, and homework 25%, Midterm 35%, Final 40%

A: 80% or above. F: up to 45. Other grades are determined by curving.

Exam policy

Students must take both exams in order to pass the course. In case of medical emergency, a written note from the physician is required within 3 days after the exam.

Academic Dishonesty

Cheating will not be tolerated and will result in a failing grade in the course, and at least two semesters of academic dismissal.

Note

This syllabus is subject to change. An announcement will be made in class in case of any change.