Syllabus Outline for MAT 141
Updated on 11/24/2008: The syllabus will be updated weekly - adding Section, Page and Problems for topics covered in class
Topics covered in class will be changed to red color
Class Notes on some topics are posted - Click on "Class Notes" to download those files
Make-up for Examination 2 on Wednesday 11/26/2008 - Topics for the exam are highlighted in YELLOW
Chapter	Date	Lecture	Chapter	Section Topics	Number	Page	Home Work
Functions	27-Aug	1	Functions	Definition	1.4	40	Page 48: 1 to 10, 13 to 20
				Domain and Range	1.4	44	Page 50: 57 to 70, Page 61: 1 to 4
				Intercepts	1.2	17	Page 62: 15 to 24
				Symmetric about x-axis, y-axis & the origin	1.2	18	Page 63: 71 to 76
				Odd and Even Functions	1.5	60
				Increasing and Decreasing Functions	1.5	57
	3-Sep	2	Polynomial Functions	Graphs of basic functions	1.5	70
				Transformations of Functions - Shifting	1.7	74	Page 81: 19-22, 25-26, 29-33, 37-38
				Transformations of Functions - Reflection	1.7	76
	8-Sep	3	Polynomial - 2nd degree	Parabola - rewrite in the standard form	2.1	131	Page 134: 13-24
				Transformations of Functions - Stretching & Shrinking	1.6	78	Page 81: 23-24, 27-29
	10-Sep	4	Polynomial - higher degree	x-intercepts and y-intercepts
				Ranges where the function is +ve or -ve	Class Notes
				End behavior & Turning points	2.2	141	Page 148: 1-8
				Synthetic Division	2.3	156	Page 159: 19-34
				Remainder	2.3	157	Page 160: 45-46
				Zeros or Real roots of Polynomial Functions	2.5	169	Page 160: 49-50
				Factors of a Polynomial	2.3	157	Page 160: 57-60
	15-Sep	5	Rational Functions	Horizontal and Vertical Asymptotes	2.6	185	Page 193: 1-12
				Graphs of rational functions	2.6	184	Page 193: 13-16, 27-38
	17-Sep	6	Inverse Functions	Composition of Functions	1.8	86	Page 89: 31-41
				One-to-One Functions	1.9	96	Page 100: 55-62
				Verifying Inverse Functions	1.9	94	Page 99: 13-24
				Find the inverse of a function	1.9	97	Page 100: 39-54
				Graph of Inverse Functions	1.9	95	Page 99: 9-12
Transcendental Functions	22-Sep	7	Exponential Functions	Definition and Graph	3.1	219
			Logarithmic Functions	Definition and Graph	3.2	231
	24-Sep	8		Properties	3.3	239	Page 243: 23-78
				Solving Equations	3.4	246	Page: 1-20, 75-102
	6-Oct	9	Class Cancelled
Trigonometry	14-Oct	10	Six Trigonometric Functions	Definition: Right Triangle	4.3	301
				Definition: Unit Circle	4.2	295
				Identities	4.3	304
			Trigonometric Values	Values at special angles	4.3	302
				Radian and Degree Measure	4.1	283
				Values at any angle	4.4	312	Refer to Class Notes
	15-Oct	11	EXAMINATION 1
Trigonometry	20-Oct	12	Trigonometric Functions	Graphs (Sine and Cosine)	4.5	321
				Graphs (Other Trigonometric Functions)	4.6	332
	22-Oct	13	Trigonometric Formulas	Addition and Subtraction Formulas	5.4	400	Page 404: 1-36, 55-64
				Sum to Product Formulas	5.5	412	Page 416: 83-86
				Product to Sum Formulas	5.5	411	Page 416: 63-70
				Double Angle Formulas	5.5	407	Page 415: 23-28
	27-Oct	14		Power-Reducing Formulas	5.5	409	Page 415: 29-34
				Half Angle Formulas	5.5	410	Page 416: 49-54
			Using Trig Identities	Evaluate	5.1	375	Page 379: 1-14
				Simplify and Verify	5.2	383	Page 387: 1-30
	29-Oct	15	Inverse Trigonometric Functions	Definition	4.7	343	Page 349: 1-16
	3-Nov	16	Solve Trigonometric Equation	General solutions for tigonometric functions	5.3	389	Page 396: 1-20
	5-Nov	17	(Refer to Class Notes also)	General solutions for equations with Multiple angles	5.3	394	Page 396: 35-40
					5.5	407	Page 415: 9-14
Systems of Equations	10-Nov	18	Matrices	Definition and Operations	8.2	587	Page 597: 1-12, 27-34
	12-Nov	19		Determinant of a Matrix	8.4	614	Page 616: 1-16, 31-36
				Inverse of a Matrix	8.3	606	Page 608: 1-9, 11-24
			Solving Systems of Equations	Using Inverse of a matrix ( Refer to Class Notes)	8.3	607	Page 609: 45-50
	17-Nov	20		Using Cramer's Rule	8.5	619	Page 628: 1-10
	19-Nov	21	Examination - 2
Summations	24-Nov	22	Law of Sines and Cosines	Solving a triangle
	26-Nov	23	Sequences	n-th term
				Defining a sequence recursively
				Arithmetic Sequences
				Geometric Sequences
	1-Dec	24	Mathematical Induction	Sum of Powers of Integers
			Counting	Counting Principles
				Permutations
				Combinations
	3-Dec	25	Binomial Expansion	Binomial Theorem
Conics	8-Dec	26	Definition, graph	Circle and Parabola
			Properties	Ellipse
				Hyperbola
	10-Dec	27		Shifted Conics
Parameters	15-Dec	28		Parametric Equations
				Polar Coordinates
Final Examination on December 17, 2008 from 12:30pm to 2:30pm