Tennessee Technological University

Mathematics Department

MATH 1720: Pre-Calculus II

i.Course Description From Catalog:
Circular functions and radian measure, graphs of the trigonometric functions, trigonometric identities and equations, the inverse trigonometric functions, polar coordinates. Applications involving triangles, vectors in the plane, and complex numbers. Lec. 3. Cr. 3.

  1. Prerequisite(s):
    Two years of high school algebra, one year of high school geometry.
  1. Course Objectives(s):
    Build on (not replicate) the competencies gained through the study of two years of high school algebra and one year of high school geometry. Use mathematics to solve problems and determine if the solutions are reasonable. Use mathematics to model real world behaviors and apply mathematical concepts to the solution of real-life problems. Make meaningful connections between mathematics and other disciplines. Use technology for mathematical reasoning and problem solving. Apply mathematical and/or basic statistical reasoning to analyze data and graphs. Refine the algebraic, geometric, trigonometric and reading comprehension skills necessary in the study of calculus.

iv.Topics to be Covered:

1

Students with a disability requiring accommodations should contact the Office of Disability Services (ODS). 1

An Accommodation Request (AR) should be completed as soon as possible, preferably by the end of the first

week of the course. The ODS is located in the RoadenUniversityCenter, Room 112; phone 372-6119.

Last Revised: 10/29/18

Chapter 5Trigonometric Functions

5.1Angles

5.2Trigonometric Functions

5.3Evaluating Trigonometric Functions

5.4Solving Right Triangles

Chapter 6The Circular Functions and Their Graphs

6.1Radian Measure

6.2The Unit Circle and Circular Functions

6.3Graphs of the Sine and Cosine Functions

6.4Translations of the Graphs of the Sine and Cosine Functions

6.5Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions

6.6Harmonic Motion - Omit

Chapter 7Trigonometric Identities and Equations

7.1Fundamental Identities

7.2Verifying Trigonometric Identities

7.3Sum and Difference Identities

7.4Double-Angle Identities and Half-Angle Identities

7.5Inverse Circular Functions

7.6Trigonometric Equations

7.7Equations Involving Inverse Trigonometric Functions

Chapter 8 Applications of Trigonometry

8.1The Law of Sines

8.2The Law of Cosines

8.3Vectors, Operations, and Dot Product

8.4Applications of Vectors

8.5Trigonometric (Polar) Form of Complex Numbers: Products and Quotients

8.6De Moivre’s Theorem; Powers and Roots of Complex Numbers

8.7Polar Equations and Graphs

8.8Parametric Equations, Graphs, and Applications

1

Students with a disability requiring accommodations should contact the Office of Disability Services (ODS). 1 An Accommodation Request (AR) should be completed as soon as possible, preferably by the end of the first

week of the course. The ODS is located in the RoadenUniversityCenter, Room 112; phone 372-6119.

Last Revised: 10/29/18

v.Additional Information:

  1. Possible Texts and References:
    Precalculus,4th edition, Margaret L. Lial, John Hornsby and David I. Schnieder

vii.Any Technology that MAy be used:

Scientific Calculator

MyMathLab

1

Students with a disability requiring accommodations should contact the Office of Disability Services (ODS). 1 An Accommodation Request (AR) should be completed as soon as possible, preferably by the end of the first

week of the course. The ODS is located in the RoadenUniversityCenter, Room 112; phone 372-6119.

Last Revised: 10/29/18