# College Algebra & Trigonometry (MATH 1340)

## SM2040, 11:00 - 11:50 MTRF

Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   seongchun.kwon@utoledo.edu
Office:   University Hall 2030C
Office hours:   1:30 ~ 2:30 and 3:30 ~ 4:30 on Monday, 3:00 ~ 5:00 on Thursday and 1:00 ~ 2:00 on Friday or by appointment

Text:    Precalculus by Larson and Hosteller 8th edition
Materials covered:    Varied properties of Functions, Polynomial and Rational functions, Exponential and Logarithmic functions, Trigonometric functions, Solving polynomial and trigonometric equations, Solving inequalities, Conic sections

Final Exam: 10:15 - 12: 15, May 8(Friday)

• Syllabus
• Suggested Problems

## Progress, Problems and Solutions

 Date Progress Problems,Solutions Jan 12(M) Introduction Diagnostic Test Jan 13(T) 1.1. Rectangular Coordinates, 1.2. Graphs of Equations Jan 15(Th) 1.2. Graphs of Equations, 1.3. Linear Equations in Two Variables Jan 15(F) Quiz Group Quiz: 12, 34 in sec. 1.1., 2, 70 in sec. 1.2., 2, 22 in sec. 1.3. Jan 20(T) 1.3. Linear Equations in Two variables, 1.4. Functions Jan 22(Th) 1.4. Functions, 1.5. Analyzing Graphs of Functions Jan 23(F) Quiz Group Quiz: 52, 70 in sec.1.3., 10(d), 28(c), 70 in sec.1.4.; Closedbook Quiz Jan 26(M) 1.5. Analyzing Graphs of Functions, 1.7. Transformations of Functions Jan 27(T) 1.7. Transformations of Functions, 1.8. Combinations of Functions Jan 29(Th) 1.8. Combinations of Functions, 1.9. Inverse Functions Jan 30(F) Quiz Group Quiz: 12 (a),(b),(c) in 1.7, 24, 32 in 1.8; Closedbook Quiz Feb 2(M) 1.9. Inverse Functions, 2.1. Quadratic Functions and Models Feb 3(T) 2.1. Quadratic Functions and Models, 2.2. Polynomial Functions of Higher Degree Feb 5(Th) 2.2. Polynomial Functions of Higher Degree Feb 6(F) Quiz Group Quiz: 28, 50(a) in 1.9, 24, 26 in 2.1., 18 in 2.2.; Closedbook Quiz Feb 9(M) 2.2. Polynomial Functions of Higher Degree Feb 10(T) 2.3. Polynomial and Synthetic Division, 2.4. Complex Numbers Feb 12(Th) Review for the exam 12, 32 in sec.1.1., 4, 12, 58,70 in sec.1.2., 54, 70 in sec.1.3., 28. 61 in sec. 1.4., 18, 66 in sec.1.5., 43 in sec. 1.7., 6, 42(a),(b) in sec. 1.8., 50, 60 in sec. 1.9., 22 in sec. 2.1. Feb 13(F) Exam 1 (Chapter 1 ~ section 2.1): You may turn in Suggested Problems for 5 extra points. As I said, I will not curve at the end. However, there is a possibility to increase the extra credits from suggested problems, depending on the exam results. Do not copy the answers in the back of the text. You will not be able to get extra credits. Best Solutions: Ashley, Cameron, Kyle Feb 17(T) 2.4. Complex Numbers, 2.5. Zeros of Polynomial Functions Feb 19(Th) 2.5. Zeros of Polynomial Functions Group Quiz( 22, 74 in sec.2.2., 8, 22, 38 in sec.2.3.), Mini-Make-Up Exam Feb 20(F) Quiz Group Quiz( 2, 18, 28, 38, 50, 52, 60 in sec. 2.4. ), Closedbook Quiz Feb 23(M) 2.6. Rational Functions Feb 24(T) 2.6. Rational Functions, 2.7. Nonlinear Inequalities Feb 26(Th) 2.7. Nonlinear Inequalities Group Quiz: 12, 14, 50 in sec.2.5., Closedbook Quiz Feb 27(F) Quiz Group Quiz: 14, 16, 32 in sec. 2.6., 16, 48, 56 in sec. 2.7. Mar 2(M) 2.7. Nonlinear Inequalities, 3.1. Exponential Functions and Their Graphs Mar 3(T) 3.1. Exponential Functions and Their Graphs, 3.2. Logarithmic Functions and Their Graphs Mar 5(Th) Rational Functions, Nonlinear Inequalities Revisited Closedbook Quiz Mar 16(M) 3.2. Logarithmic Functions and Their Graphs Group Quiz: 56 and 60 in sec. 2.7. Mar 17(T) 3.2. Logarithmic Functions and Their Graphs Group Quiz: 40 and 42 in sec. 2.7. Mar 19(Th) 3.2. Logarithmic Functions and Their Graphs, 3.3. Properties of Logarithms Mar 20(F) Quiz Closedbook Quiz Mar 23(M) Review for the exam 13, 67 in sec.2.2., 5, 19 in sec.2.3., 5, 7, 49, 89 in sec.2.4., 11, 49 in sec. 2.5., 15, 31 in sec. 2.6., 27, 29, 39, 55, 56 in sec. 2.7., 45, 49 in sec. 3.1., 79, 81 in sec. 3.2., Example 3 and 6(in p 240 and p 241), 57, 63, 69, 71 in sec. 3.3. Mar 24(T) Exam 2( For this Exam, You will not be allowed to use Calculators.) Best Solutions: Ashley, Albert Mar 26(Th) 3.4. Exponential and Logarithmic Equations Mar 27(F) 3.4. Exponential and Logarithmic Equations, 4.1. Radian and Degree Measure Mar 30(M) 4.1. Radian and Degree Measure Mini-Make-Up Exam Mar 31(T) 4.1. Radian and Degree Measure, 4.2. Trigonometric Functions: The Unit Circle Apr 2(Th) 4.2. Trigonometric Functions: The Unit Circle, 4.3. Right Triangle Trigonometry Apr 3(F) Quiz Closedbook Quiz ; Group Quiz: 17(b), 22, 48, 52 in sec. 4.1., 2, 32 (a), (b), 54 (a), (b) in sec. 4.3. Apr 6(M) 4.3. Right Triangle Trigonometry, 4.4. Trigonometric Functions and Any Angle Apr 7(T) 4.5. Graphs of Sine and Cosine Functions Apr 9(Th) 4.5. Graphs of Sine and Cosine Functions, 4.7. Inverse Trigonometric Functions Closedbook Quiz Apr 10(F) 4.7. Inverse Trigonometric Functions Group Quiz: 2, 12, 46 in sec. 4.4., 4, 10 in sec. 4.5., 2, 8, 48, 50 in sec. 4.7. Apr 13(M) 5.1. Using Fundamental Identities Apr 14(T) 5.2. Verifying Trigonometric Identities Apr 17(Th) 5.2. Verifying Trigonometric Identities, 5.3. Solving Trigonometric Equations Apr 18(F) Quiz Closedbook Quiz , Group Quiz: 2, 10 in sec. 5.1., 6, 8 in sec. 5.2. Apr 20(M) 5.4. Sum and Difference Formulas Apr 21(T) 5.5. Multiple-Angle and Product-to-Sum Formulas Apr 23(Th) 5.5. Multiple-Angle and Product-to-Sum Formulas Apr 24(F) Quiz Group Quiz: 8, 16 in 5.3.; 4, 32, 38, 40 in 5.4., 10 in 5.5. Apr 27(M) Quiz continued Group Quiz: 8, 16 in 5.3.; 4, 32, 38, 40 in 5.4., 10 in 5.5. Apr 28(T) Closedbook Quiz Quiz Apr 30(Th) Review for the final May 1(F) Review for the final May 8(F) Final Exam