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MS-101 Algebra & Trigonometry

GENERAL INFORMATION:

Course title: MS 101 Algebra & Trigonometry

Campus: National

Initiator: Dennis Gearhart

Date: November 3, 2017

Course description
A one semester course covering exponential and logarithmic functions, the graphs of these functions, the inverse relationship between exponentials and logarithms, solving equations involving exponentials and logarithms, and modeling using exponentials. Also includes an introduction to trigonometry covering right triangle trigonometry, trigonometric functions of any angle, graphs of sine and cosine functions, modeling using sine and cosine functions, inverse trigonometric functions and solving trigonometric equations.

COURSE HOURS/CREDITS:

   

Hours per Week

 

No. of Weeks

 

Total Hours

 

Semester Credits

Lecture

  

3

x

16

x

48

=

3

Laboratory

  

 

x

 

x

 

=

 

Lecture / Lab

  

 

x

 

x

 

=

 

Workshop

  

 

x

 

x

 

=

 
         

Total Semester

Credits

  

3
                     

PURPOSE OF COURSE:

[X] Degree requirement

[X] Degree elective

[ ] Certificate

[ ] Other

PREREQUISITES: MS 100 with “C” or better or by COMET placement.

PSLOS OF OTHER PROGRAMS THIS COURSE MEETS:

PSLO#

Program

 

 

1) INSTITUTIONAL STUDENT LEARNING OUTCOMES

[ ]

1. Effective oral communication: capacity to deliver prepared, purposeful presentations designed to increase knowledge, to foster understanding, or to promote change in the listeners’ attitudes, values, beliefs, or behaviors.

[ ]

2. Effective written communication: development and expression of ideas in writing through work in many genres and styles, utilizing different writing technologies, and mixing texts, data, and images through iterative experiences across the curriculum.

[X]

3. Critical thinking: a habit of mind characterized by the comprehensive exploration of issues, ideas, artifacts, and events before accepting or formulating an opinion or conclusion.

[X]

4. Problem solving: capacity to design, evaluate, and implement a strategy to answer an open-ended question or achieve a desired goal.

[ ]

5. Intercultural knowledge and competence: a set of cognitive, affective, and behavioral skills and characteristics that support effective and appropriate interaction in a variety of cultural contexts.

[ ]

6. Information literacy: the ability to know when there is a need for information, to be able to identify, locate, evaluate, and effectively and responsibly use and share that information for the problem at hand.

[ ]

7. Foundations and skills for life-long learning : purposeful learning activity, undertaken on an ongoing basis with the aim of improving knowledge, skills, and competence.

[X]

8. Quantitative Reasoning: ability to reason and solve quantitative problems from a wide array of authentic contexts and everyday life situations; comprehends and can create sophisticated arguments supported by quantitative evidence and can clearly communicate those arguments in a variety of formats.

2) PROGRAM STUDENT LEARNING OUTCOMES (PSLOs): The student will be able to:

3.1 Demonstrate understanding and apply mathematical concepts in problem solving and in day to day activities.
3.2 Present and interpret numeric information in graphic forms.
3.3 Communicate thoughts and ideas effectively using proper mathematical terms.

3) COURSE STUDENT LEARNING OUTCOMES (CSLOs)(General): The student will be able to:

  1. Recognize, evaluate and graph exponential and logarithmic functions.
  2. Manipulate and utilize angles.
  3. Employ trigonometric ratios of acute and non-acute angles.
  4. Model and solve equations involving sinusoidal phenomena.

4) COURSE STUDENT LEARNING OUTCOMES (CSLOs)(Specific): The student will be able to:

CSLO (General) 1: Recognize, evaluate and graph exponential and logarithmic functions.

Student Learning Outcome (specific)

ISLO

PSLO

Assessment Strategies

1.1 Evaluate exponential expressions and functions.

8

3.1

Homework and/or rubric assessed exam.

1.2 Evaluate logarithmic expressions and functions.

8

3.1

Homework and/or rubric assessed exam.

1.3 Graph and analyze exponential and logarithmic functions.

8*

3.2

Homework and/or rubric assessed exam.

CSLO (General) 2: Manipulate and utilize angles.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

2.1 Sketch and recognize angles using degree mode.

8

3.2

Homework and/or rubric assessed exam.

2.2 Sketch and recognize angles using radian mode.

8

3.2

Homework and/or rubric assessed exam.

2.3 Convert angles between degree and radian mode

8

3.1

Homework and/or rubric assessed exam.

CSLO (General) 3: Evaluate trigonometric ratios.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

3.1 Use right triangles to evaluate trigonometric ratios of acute angles.

8

3.1

Homework and/or rubric assessed exam.

3.2 Use reference angles to evaluate trigonometric ratios of non-acute angles.

8

3.1

Homework and/or rubric assessed exam.

3.3 Use the unit circle to evaluate trigonometric ratios of quadrantal angles

8

3.1

Homework and/or rubric assessed exam.

3.4 Use technology to evaluate trigonometric ratios of angles

8

3.1

Homework and/or rubric assessed exam.

3.5 Use right triangles to model and solve real life problems.

3, 4

3.1

Homework and/or rubric assessed exam.

CSLO (General) 4: Graph and analyze periodic sinusoidal functions.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

4.1 Recognize and sketch the basic sine and cosine curves.

8

3.2

Homework and/or rubric assessed exam.

4.2 Find the period, amplitude and midline of sinusoidal curves

8

3.2

Homework and/or rubric assessed exam.

4.3 Use sinusoidal functions to model real-life phenomena

3,4

3.3

Homework and/or rubric assessed exam.

5) COURSE CONTENT:

  1. Exponential equations.
  2. Logarithmic equations.
  3. Equation conversion from exponential to logarithmic and vice versa.
  4. Properties of logarithms.
  5. Exponential models.
  6. Degree and radian mode of angles.
  7. Triangular evaluation of trigonometric ratios.
  8. Reference angles and unit circle to evaluation of trigonometric ratios.
  9. Practical problems using trigonometric ratios.
  10. Sinusoidal models.

6) METHOD(S) OF INSTRUCTION:

[X ] Lecture [X] Cooperative learning groups

[ ] Laboratory [ X ] In-class exercises

[X] Audio visual [ ] Demonstrations

[ ] Other:

7) REQUIRED TEXT(S) AND COURSE MATERIALS:

Larson, R. (2011). Algebra and trigonometry (8th or 9th ed.). Belmont, CA: Brooks Cole Cengage Learning (or most recent edition).
Scientific calculator: Sharp EL-531x recommended.

8) REFERENCE MATERIALS:
None

9)INSTRUCTIONAL COSTS:
None

Summative evaluation based on homework, tests and final exam with “C” or 70% as passing grade.

11) CREDIT BY EXAMINATION:
None

SC 180 Introduction to Microbiology

 Endorsed by CC: October 12, 2022
  Approved by VPIA: 8/21/23

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