# SRJC Course Outlines

5/10/2021 9:07:27 PM | MATH 58 Course Outline as of Fall 2008
| Changed Course |

CATALOG INFORMATION |
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Discipline and Nbr: MATH 58 | Title: TRIGONOMETRY | |

Full Title: Trigonometry | ||

Last Reviewed:2/10/2020 |

Units | Course Hours per Week | Nbr of Weeks | Course Hours Total | ||||
---|---|---|---|---|---|---|---|

Maximum | 3.00 | Lecture Scheduled | 3.00 | 17.5 max. | Lecture Scheduled | 52.50 | |

Minimum | 3.00 | Lab Scheduled | 0 | 6 min. | Lab Scheduled | 0 | |

Contact DHR | 0 | Contact DHR | 0 | ||||

Contact Total | 3.00 | Contact Total | 52.50 | ||||

Non-contact DHR | 0 | Non-contact DHR Total | 0 |

Total Out of Class Hours: 105.00 | Total Student Learning Hours: 157.50 |

Grading: Grade Only

Repeatability: 00 - Two Repeats if Grade was D, F, NC, or NP

Also Listed As:

Formerly:

**Catalog Description:**

Trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers, polar coordinates, parametric equations, vectors, and applications.

**Prerequisites/Corequisites:**

Completion of MATH 155 or higher (V1)

**Recommended Preparation:**

**Limits on Enrollment:**

**Schedule of Classes Information**

Description:

Trigonometric functions and their graphs, trigonometric identities, trigonometric equations, inverse trigonometric functions, complex numbers, polar coordinates, parametric equations, vectors, and applications.

(Grade Only)

Prerequisites:Completion of MATH 155 or higher (V1)

Recommended:

Limits on Enrollment:

Transfer Credit:CSU;

Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

__ARTICULATION, MAJOR, and CERTIFICATION INFORMATION__Associate Degree: | Effective: | Fall 1981 | Inactive: | ||

Area: | B MC | Communication and Analytical Thinking Math Competency |
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CSU GE: | Transfer Area | Effective: | Inactive: | ||

B4 | Math/Quantitative Reasoning | Fall 2006 | |||

B4 | Math/Quantitative Reasoning | Fall 1981 | Fall 1996 | ||

IGETC: | Transfer Area | Effective: | Inactive: | ||

CSU Transfer: | Transferable | Effective: | Fall 2006 | Inactive: | |

UC Transfer: | Effective: | Inactive: | |||

C-ID: |

Certificate/Major Applicable: Both Certificate and Major Applicable

__COURSE CONTENT__**Outcomes and Objectives:**

Upon completion of the course, students will be able to:

Upon completion of the course, students will be able to:

1. Define the trigonometric functions, using both right triangle and unit circle.

2. Use radian measure to find arc length, sector area, and linear and

angular velocity.

3. Verify trigonometric identities.

4. Solve, both graphically and analytically, equations involving

trigonometric functions.

5. Graph trigonometric functions and transformations of these functions.

6. Define and graph the inverse trigonometric functions.

7. Apply trigonometric functions and identities to solve applications and

modeling problems.

8. Solve right and oblique triangles using the trigonometric

functions and the Laws of Sine and Cosine.

9. Represent complex numbers in, and perform operations using,

trigonometric form.

10. Use vectors to model applications in mathematics and science.

**Topics and Scope**

I. Trigonometric Functions

A. Radian and degree measures of angles

1. Arc length

2. Area of a sector

3. Linear and angular velocity

B. Right triangle and unit circle definitions

C. Characteristics of trigonometric functions

II. Identities and Conditional Equations

A. Fundamental identities

B. Sum and difference identities

C. Related identities and their derivations

D. Conditional trigonometric equations and applications

III. Graphical Representation of Trigonometric Functions

A. Amplitude and reflections

B. Period

C. Phase (horizontal) shifts

D. Vertical shifts

IV. Inverse Functions

A. Definitions

B. Properties of inverse functions

C. Inverse trigonometric functions and their graphs

V. Solutions of Triangles

A. Right triangles

B. Oblique triangles

C. Laws of Sines and Cosines

D. Applications

VI. Complex Numbers, Polar Coordinates, and Parametric Equations

A. Definitions

B. Operations

C. Graphical representation of complex numbers

D. DeMoivre's Theorem

E. Polar coordinates

F. Parametric equations

VII. Two Dimensional Vectors

A. Geometric and analytic definitions

B. Algebra of vectors

C. Trigonometric form of vectors

D. Dot product

E. Applications

**Assignments:**

1. Daily reading outside of class (approximately 20-50 pages per week).

2. Problem set assignments from required text(s)or supplementary

materials chosen by the instructor (approximately 1-6 per week).

3. Quizzes (approximately 0-4 per week).

4. Exams (approximately 3-8 per term).

5. Projects (for example, computer explorations or modeling activities,

approximately 0-10 per term).

**Methods of Evaluation/Basis of Grade.**

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing 0 - 0% |
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None | |||

This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. | |||

Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving 5 - 20% |
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Homework problems | |||

Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 0 - 0% |
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None | |||

Exams: All forms of formal testing, other than skill performance exams. | Exams 70 - 95% |
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Multiple choice and free response exams; quizzes | |||

Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
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Projects |

**Representative Textbooks and Materials:**

Trigonometry (9th). Lial, Hornsby & Schneider. Addison-Wesley: 2008.