Purdue University North Central

SUMMER  2005
MA 154 - ALGEBRA & Trigonometry
Course Outline

 

 

 

Dr. Santaram Chilukuri
304 Schwarz Hall
Ext. 5285;Fax.219 785 5507

schilukuri@pnc.edu

Mathematics/Physics Main Page

Purdue North Central Home Page

Dept. of  Mathematics. West Lafayette

Created:  Dec.  2004

Texts
1 Algebra & Trigonometry: Graphs & Models by  Bittinger, Beecher, Ellenbogen & Penna.

Requires TI 83 Plus Graphing calculator or equivalent & Graphing calculator manual by Judith A. Penna

 

Course Goals
1.  Develop and build skills working with trigonometry and algebra 

2. Develop real world problem solving and reasoning skills

3. Develop understanding of the mathematical concepts

 

  

Homework Assignments

 

Chapter

Topic

Problems

Due date

Out line

5

The Trigonometric Functions 

#5.1 Trigonometric functions of acute angles-odds 1-19,evens 24-28, odds 31-35,evens 42-52,odds 55-71,evens 74-78, 87

#5.2 Applications of right triangles- odds 3-13,odds 21-29, 33, 39, 46

#5.3 Trigonometric functions of any angle-odds 3-11,evens 14-24, odds 27-37, odds 45-59, evens 74-82, odds 87-97

#5.4 Radians, Arc length, and Angular speed-odds 1-9,evens16-20,odds 27-35,47,49,53,69

#5.5 Circular Functions: Graphs and Properties-odds 1-11,evens 26-40,45,46,48,52,55,odds 63-71,75

#5.6 Graphs of transformed Sine and Cosine functions-odds1-9,12,evens 16-28,odds 43-47,52,67,74,77

  

 

 

 

 

 

 

 

 

 

 

Notes

6

Trigonometric identities, Inverse Functions, and Equations

#6.1 Identities: Pythagorean and Sum and Difference-evens 2-8, odds 9-29, evens 32-48, odds 53-69, 77,87

#6.2 Identities: Co-function, Double-angle and Half-angle-odds 3-13,evens 20-36,46,47,50

#6.3 Proving trigonometric identities-odds 3-13, evens 18-28,33,34

#6.4 Inverses of the trigonometric functions-odds 1-17,evens 22-30,35, odds 39-55,evens 62-66,79

#6.5 Solving trigonometric equations-evens 2-20, odds 23-45

 

 

 

 

 

 

 

 

 

Notes

7

Applications of Trigonometry

#7.1 The law of sines - odds 3-15,evens 18-24, 28

#7.2 The law of Cosines-evens 4-16,odds17-23, 27

#7.3 Complex numbers: Trigonometric form-odds 5-19,evens 22-40, odds 45-57,70

 

Notes

8

Systems of Equations and matrices

#8.1 Systems of equations in two variables-odds 3-21,evens 24-40,ods 47-53

#8.2 Systems of equations in three variables-evens 2-12,odds 15-27

#8.3 Matrices and systems of equations-odds 1-25, evens 30-38,41

 

Notes

9

Conic Sections

#9.1 The Parabola-odds 3-19,evens 22-32, 45

#9.2 The Circle and the Ellipse-odds 1-25, evens 28-44

#9.3 The Hyperbola-odds 1-9, evens 12-22, odds 25-35, 40

#9.4 Nonlinear systems of equations- odds 3 – 59

 

Notes

10

Sequences, Series, and Combinatorics

#10.7 The Binomial theorem – odds 5- 9, odds 21-25

 

Notes

 

  Test dates (subject to change)

 

June

16

June

30

July

20