Math 175Mathematics for Electronics 5
Instructor: Bogdan Verjinschi
Office: CBA 151 (phone number: 370-4490)
Office hours: will be posted on my office door and on the course webpage
Email address: verjinschi@camosun.bc.ca
Course WEB page: http://verjinschi.disted.camosun.bc.ca/
Textbook Basic Technical Mathematics with Calculus (9th Edition) by Allyn J. Washington.
Evaluation
· Three 2 hours tests: 50%
· Comprehensive final exam: 50%
The following percentage conversion to letter grade will be used:
Percentage: 0–49 50–59 60–64 65–69 70–72 73–76 77–79 80–84 85–89 90–100
Letter grade: F D C C+ B- B B+ A- A A+
Tentative Schedule
Test 1 April 26 Test 2 May 17 Test 3 June 7
Final exams are held from June 21 - 25. You must be available at the scheduled time.
Course Outline
1. Methods of Integration
· The General Power Formula (28.1)
· The Basic Logarithmic Form (28.2)
· The Exponential Form (28.3)
· Basic Trigonometric Forms (28.4)
· Other Trigonometric Forms (28.5)
· Inverse Trigonometric Forms (28.6)
· Integration by Parts (28.7)
· Integration by Trigonometric Substitution (28.8)
· Integration by Partial Fractions: Nonrepeated Linear Factors (28.9)
· Integration by Partial Fractions: Other Cases (28.10)
2. Expansion of Functions in Series
· Infinite Series (30.1)
· Maclaurin Series (30.2)
· Certain Operations with Series (30.3)
· Computation by Use of Series (30.4)
· Taylor Series (30.5)
3. Differential Equations
· Solutions of Differential Equations (31.1)
· Separations of Variables (31.2)
· The Linear Differential Equations of First Order (31.4)
· Elementary Applications (31.6)
· Higher-Order Homogeneous Equations (31.7)
· Auxiliary Equations with Repeated or Complex Roots (31.8)
· Solutions of Nonhomogeneous Equations (31.9)
· Applications of Second-Order Equations (31.10)
4. Laplace Transforms
· Laplace Transforms (31.11)
· Solving Differential Equations by Laplace Transforms (31.12)
· 5. Fourier Series
· Introduction to Fourier Series (30.6)
· More about Fourier Series (30.7)
M 175 Suggested Homework
Textbook: Allyn J. Washington, Basic Technical Mathematics with Calculus, 9th Edition
Section 28.1
# 3, 5, 7, 9, 15, 17, 19, 21, 23, 31.
Section 28.2
# 3, 5, 11, 13, 17, 21, 27, 29, 31, 37.
Section 28.3
# 5, 7, 9, 11, 15, 17, 19, 23, 25, 27, 35.
Section 28.4
# 3, 5, 9, 11, 13, 15, 21, 23, 25, 27, 29.
Section 28.5
# 3 - 29 (odds), 33, 37, 39.
Section 26.6
# 7, 9, 11, 17, 19, 21, 25, 33, 35.
Section 28.7
# 3, 5, 7, 9, 13, 15, 17, 19, 21.
Section 28.8
# 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23.
Section 28.9
# 7, 9, 11, 15, 17, 19, 21, 29./
Section 28.10 # 5, 7, 9, 11, 13. Try examples: 1, 2, 3, 4.
Section30.1
# 23, 25, 27, 29.
Section30.2
# 1 , 3, 5, 7, 11, 15, 17, 19, 23, 25, 31.
Section30.3
# 3, 5, 7, 9, 11, 13, 17, 21, 25, 27.
Section30.4
# 3, 5, 7, 9, 11, 19, 21, 27, 29.
Section 30.5
# 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25.
Section 31.1
# 5, 13, 15, 21, 23.
Section 31.2
# 5, 7, 9, 13, 15, 19, 21, 23, 25, 31, 33, 35, 37, 39.
Section 31.4
# 3, 5, 9, 11, 15, 17, 21, 23, 25, 31, 33, 35.
Section 31.6
# 5, 7, 21, 23, 25, 29, 31, 33, 35, 37.
Section 31.7
# 3, 5, 7, 15, 17, 25.
Section 31.8
# 5, 7, 9, 11, 15, 21, 33, 35.
Section 31.9
# 5, 7, 9, 11, 13, 15, 17, 21, 33, 35.
Section 31.10 # 13, 15, 21.
Section 31.11 # 1 - 27 (odds).
Section 31.12 # 1 - 19 (odds), 23, 25, 29, 31.
Section 30.6
# 1, 3, 5, 7. (Read examples 1, 2, 3.)
Section 30.7
# 13, 15, 17. (Read examples 7, 8.)
Note : this list suggests the minimum amount of work: If you want to do more exercises
please work as many (odd numbered) problems as you can.