# Precalculus

Course Description:
Major emphasis is on the concept of functions. Study polynomial, rational, exponential, logarithmic,
trigonometric and inverse trigonometric functions, their properties, graphs, and related equations and
applications
. Additional topics include systems of equations , matrices, conic sections, sequences and series,
and probability. A graphing calculator is required and used extensively. Prerequisite: MTH 131

Core Course Objectives:

1. Simplify polynomial , radical, and rational expressions , and algebraic expressions involving radicals,
integer exponents, rational exponents, trigonometric functions, combinations, permutations, factorials ,
series, sequences, and matrices using appropriate algebraic skills, and logarithmic processes. (ADO 3.2)

2. Use appropriate algebraic processes to solve:
equations.
• linear, absolute value, polynomial, and rational inequalities .
• linear and non-linear systems of equations.
• trigonometric and inverse trigonometric equations (ADO 3.2)

3. Manipulate and identify functions graphically, symbolically, and numerically . (ADO 2)

4. Solve application problems involving many different subject areas using algebraic
processes, counting technologies, and the binomial theorem. (ADO 4)

5. Apply fundamentals of right triangle trigonometry and solve applications problems.

6. Use appropriate technology (such as the graphing calculator ) to enhance the understanding
of the previously stated objectives. (ADO 7)

7. Have an awareness of the historical background of topics covered in the course. (ADO 15)

Associate Degree Outcomes:
ADO 2. The ability to comprehend and use information including written and oral forms
ADO 3 Computational skills and understanding appropriate to the program of study
ADO 4. Critical thinking and problem-solving
ADO 7 Facility in the use of computers and other technologies appropriate to the program of study

 Day Section Topic Practice HW 12 Jan Introduction R.1 The Real -Number System 11-28,59-78 R.2 Integer Exponents, Scientific Notation, and Order of Operation 1-90 13 Jan R.3 Addition, Subtraction, and Multiplication of Polynomials 1-53 14 Jan R.4 Factoring 1-138 R.5 Rational Expressions 1-74 15 Jan R.6 Radical Notation and Rational Exponents 1-130 R.7 The Basics of Equation Solving 1-64 19 Jan No Class 20 Jan 1.1 Introduction to Graphing 1-134 1.2 Functions and Graphs 1-89 21 Jan 1.3 Linear Functions, Slope, and Applications 1-72 1.4 Equations of Lines and Modeling 1-94 22 Jan 1.5 More on Functions 1-87 1.6 The Algebra of Functions 1-106 26 Jan 1.7 Symmetry and Transformations 1-102 27 Jan ˜˜˜˜˜˜ CBR Lab 28 Jan ˜˜˜˜˜˜ Review for Exam #1 29 Jan ˜˜˜˜˜˜ Exam #1 on Chapters R&1 2 Feb 2.1 Linear Equations, Functions, and Models 1-88 3 Feb Project Success Day 4 Feb 2.2 Complex Numbers 5 Feb 2.3 Quadratic Equations, Functions, and Models 1-147 2.4 Analyzing Graphs of Quadratic Functions 1-66 9 Feb 2.5 More Equation Solving 1-114 2.6 Solving Linear Inequalities 1-81 10 Feb 3.1 Polynomial Functions and Modeling 1-86 11 Feb 3.2 Graphing Polynomial Functions 1-52 12 Feb 3.3 Polynomial Division 1-9,64-70 1-48 16 Feb 3.4 Theorems about Zeros of Polynomial Functions 17 Feb 3.5 Rational Functions 18 Feb 3.6 Polynomial and Rational Inequalities 1-94 19 Feb 3.7 Variation and Applications 1-88 ˜˜˜˜˜˜ Review for Exam #2 1-49 23 Feb ˜˜˜˜˜˜ Exam #2 on Chapters 2&3 24 Feb 4.1 Inverse Functions 1-98 4.2 Exponential Functions and Graphs 1-101 25 Feb 4.3 Logarithmic Functions and Graphs 1-114 26 Feb 4.4 Properties of Logarithmic Functions 2 Mar 4.5 Solving Exponential & Logarithmic Eqns 1-86 3 Mar 4.6 Applications and Models: Growth and Decay, and Compound Interest 1-43 4 Mar ˜˜˜˜˜˜ Review for Exam #3 5 Mar ˜˜˜˜˜˜ Exam #3 on Chapters 4 16 Mar 5.1 Trigonometric Functions of Acute Angles 1-116 16 Mar 5.2 Applications of Right Triangles 1-44 18 Mar 5.3 Trigonometric Functions of Any Angle 1-106 19 Mar 5.4 Radians, Arc Length, and Angular Speed 1-79 23 Mar 5.5 Circular Functions: Graphs and Properties 24 Mar 5.6 Graphs of Transformed Sine and Cosine Functions 25 Mar 6.1 Identities: Pythagorean and Sum and Difference 1-76 26 Mar 6.2 Identities: Cofunction, Double-Angle, Half-Angle 1-52 30 Mar 6.3 Proving Trigonometric Identities 1-51 31 Mar 6.4 Inverses of the Trigonometric Functions 1-86 1 Apr 6.5 Solving Trigonometric Equations 1-66 2 Apr 7.1 The Law of Sines 1-48 6 Apr 7.2 The Law of Cosines 1-48 7 Apr ˜˜˜˜˜˜ CBR Lab 8 Apr ˜˜˜˜˜˜ Review for Exam #4 9 Apr ˜˜˜˜˜˜ Exam #4 on Chapters 5,6&7 13 Apr 8.1 System of Equations in Two Variables 1-86 14 Apr 8.2 Systems of Equations in Three Variables 1-55 15 Apr 8.3 Matrices and Systems of Equations 16 Apr 9.1 The Parabola 1-49 20 Apr 9.2 The Circle and The Ellipse 1-71 21 Apr 9.3 Hyperbola 1-55 22 Apr 9.7 Parametric Equations 1-46 23 Apr 7.4 Polar Coordinates and Graphs 1-98 27 Apr Review for Exam #5 28 Apr Review for Exam #5 29 Apr Exam #5 on Chapters 8,9,&7.4 30 Apr Comprehensive Review 4 May Comprehensive Review 5 May Comprehensive Review 6 May Final Exam 7 May Final Exam 11 May Course Review 12 May Course Review

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