MAT 1275

College Algebra and Trigonometry

Textbook: College Algebra and Trigonometry: Expressions, Equations and Graphs, by Holly Carley and Ariane Masuda, adapted from Intermediate Algebra 2e by Lynn Marecek and Andrea Honeycutt Mathis, et al. OpenStax, on LibreTexts, Summer 2023.

Workbook: MAT 1275 Workbook by Holly Carley and Ariane Masuda, Summer 2023. The workbook is based on the 6-point process from the chapter book Mathematical Literacy and Critical Thinking by Rojas, E., & Benakli, N. (2020). In: But, J. (eds) Teaching College-Level Disciplinary Literacy. Palgrave Macmillan, Cham.

Course Outline

Final Exam Review

Session	Topic	Topic/Textbook	Workbook/Homework
	PART 1: Expressions		
1-2	1.1: Arithmetic	1.1.1: Integers 1.1.2: Fractions 1.1.3: Order of Operations and Introduction to Expressions 1.1.4: Integer Exponents	Chapter 1 Chapter 2 Homework: Sections 1.4 and 2.4
3-5	1.2: Polynomials	1.2.1: Linear Expressions 1.2.2: Evaluating, Adding and Subtracting Polynomials 1.2.3: Multiplying Polynomials 1.2.4: Powers of Monomials and Binomials 1.2.5: Diving Polynomials 1.2.6: The Greatest Common Factor and Factoring by Grouping 1.2.7: Factoring Trinomials 1.2.8: Factoring Special Products 1.2.9: General Strategy for Factoring Polynomials	Chapter 3 Chapter 4 Chapter 5 Chapter 6 Homework: Sections 3.4, 4.4, 5.4 and 6.4
6-8	1.3: Rational Expressions	1.3.1: Integer Exponents: a Review with Variables 1.3.2: Simplifying, Multiplying and Dividing Rational Expressions 1.3.3: Adding and Subtracting Rational Expressions 1.3.4: Complex Rational Expressions	Chapter 7 Homework: Section 7.4
9	Test 1		
10-12	1.4: Radical Expressions	1.4.1: Radical Expressions 1.4.2: Simplifying Radical Expressions 1.4.3: Rational Expressions 1.4.4: Adding, Subtracting and Multiplying Radical Expressions 1.4.5: Diving Radical Expressions 1.4.6: Complex Numbers	Chapter 8 Chapter 11 (except quadratic equations) Homework: Sections 8.4 and 11.4 (except e and f)
	PART 2: Equations with One Unknown		
13	2.1: Linear Equations	2.1: Linear Equations	Chapter 9 Homework: Section 9.4
14-15	2.2: Quadratic Equations 	2.2.1: Solving Quadratic Equations Using the Zero-Product Property 2.2.2: Solving Quadratic Equations Using the Square Root Property 2.2.3: Solving Quadratic Equations by Completing the Square 2.2.4: Solving Quadratic Equations Using the Quadratic Formula 2.2.5: Applications of Quadratic Equations	Chapters 10 and 11 Homework: Sections 10.4 and 11.4 (only e and f)
16	2.3: Polynomial Equations 	2.3: Polynomial Equations	Chapter 12 Homework: Section 12.4
17	Test 2		
18	2.4: Rational Equations	2.4: Rational Equations	Chapter 13 Homework: Section 13.4
19	2.5: Radical Equations	2.5: Radical Equations	Chapter 14 Homework: Section 14.4
	PART 3: Graphs and Equations with Two Variables		
20	3.1: Linear Equations with Two Variables	3.1.1: Graphing Linear Equations with Two Variables 3.1.2: Slope of a Line 3.1.3: Finding the Equation of a Line	Chapter 15 Homework: Section 15.4
21-22	3.2: Quadratic Equations: Conics	3.2.1: Geometric Description and Solutions of Two Particular Equations: the Circle and the Parabola 3.2.2: Graphs of Certain Quadratic Equations: Part I 3.2.3: Graphs of Certain Quadratic Equations: Part II	Chapter 16 Homework: Section 16.4
23	3.3: Systems of Equations	3.3.1: Systems of Linear Equations with Two Variables 3.3.2: Systems of Nonlinear Equations with Two Variables	Chapter 17 Homework: Section 17.4
	Part 4: Introduction to Trigonometry and Transcendental Expressions		
24	4.1: Trigonometric Expressions	4.1.1: Angles and Triangles 4.1.2: Right Triangles and Trigonometric Ratios 4.1.3: Angles on the Coordinate Plane 4.1.4: Unit Circle	Chapter 18 Homework: Section 18.4
25	Test 3		
26	4.2: Trigonometric Equations	4.2: Trigonometric Equations	Chapter 18 Homework: Section 18.4
27-28	4.3: Exponential and Logarithmic Expressions	4.3.1: Evaluating Exponential Expressions 4.3.2: Evaluating Logarithmic Expressions 4.3.3: Properties of Logarithms 	Chapter 19 Homework: Section 19.4
29	Final Exam Review		
30	Final Exam