4/2/2025 10:02:21 PM	MATH 201 Course Outline as of Fall 2025	New Course (First Version)
CATALOG INFORMATION
Discipline and Nbr:  MATH 201	Title:  CALC1 PRECALC SUPPORT
Full Title:  Calculus 1 Concurrent Support
Last Reviewed:11/4/2024

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	2.00	Lecture Scheduled	2.00		17.5 max.	Lecture Scheduled	35.00
Minimum	2.00	Lab Scheduled	0		8 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	2.00			Contact Total	35.00
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  70.00

Total Student Learning Hours: 105.00

Title 5 Category:  AA Degree Applicable
Grading:  P/NP Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Students will receive additional instructional support to enhance learning and promote conceptual understanding of Calculus 1. This course gives students an opportunity to strengthen their study skills and foundational mathematics competencies, and it allows more time with their instructor. Required for students who are concurrently enrolled in Math 1A and who have not passed precalculus in high school or have a high school GPA less than 2.7. All Math 1A students who wish additional support are welcome and encouraged to enroll in this course.

Prerequisites/Corequisites:
Concurrent Enrollment in MATH 1A

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Students will receive additional instructional support to enhance learning and promote conceptual understanding of Calculus 1. This course gives students an opportunity to strengthen their study skills and foundational mathematics competencies, and it allows more time with their instructor. Required for students who are concurrently enrolled in Math 1A and who have not passed precalculus in high school or have a high school GPA less than 2.7. All Math 1A students who wish additional support are welcome and encouraged to enroll in this course.

(P/NP Only)
Prerequisites:Concurrent Enrollment in MATH 1A
Recommended:
Limits on Enrollment:
Transfer Credit:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:		Inactive:
Area:
CSU GE:	Transfer Area			Effective:	Inactive:
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:		Effective:		Inactive:
UC Transfer:		Effective:		Inactive:
C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Student Learning Outcomes:
At the conclusion of this course, the student should be able to:

1. Apply effective learning strategies for success in college-level mathematics.

2. Utilize precalculus algebra and trigonometry concepts and skills necessary for success in Calculus 1.

 

Objectives:

At the conclusion of this course, the student should be able to:

1. Apply effective learning strategies for transfer level mathematics.

2. Assess and improve their mathematical competency.

3. Solve and graph linear equations in one and two variables, and inequalities in one variable.

4. Evaluate and solve literal equations.

5. Find an equation for a line given information about the line.

6. Perform the operations of addition, subtraction, multiplication, division, and factoring of polynomials.

7. Use the laws of exponents to simplify expressions.

8. Solve application and modeling problems that use a system of equations.

9. Define function, domain, and range, and use function notation.

10. Identify basic features of the graphs of linear, polynomial, radical, rational, exponential, logarithmic, trigonometric, and absolute value functions.

11. Use graphing technology to construct graphs and use to solve nonlinear equations and inequalities in one variable, as well as to locate roots, intersection points, and extrema.

12. Use algebraic methods to solve equations that involve polynomial and radical expressions.

13. Apply algebraic and graphical methods to solve application problems.

14. Simplify and operate on radical, rational, exponential, logarithmic, and absolute value expressions in preparation to succeed in precalculus algebra.

15. Solve equations involving rational, exponential, logarithmic, and absolute value functions.

16. Perform advanced operations with functions (using symbolic, graphical, and numerical  representations) and apply knowledge to application and modeling problems.

17. Define and graph inverse functions.

18. Define and apply the trigonometric functions, using right triangle and unit circle approaches, and using degree and radian measures.

19. Identify and interpret characteristics of functions (including intercepts, turning points, extreme values, intervals of positive/negative/increasing/decreasing value, transformations, symmetry, asymptotes, and holes).

20. Graph polynomial, rational, absolute value, radical, exponential, logarithmic, trigonometric, and inverse trigonometric functions.

21. Verify and apply trigonometric identities.

22. Solve equations symbolically and graphically (involving polynomial, rational, absolute value, radical, exponential, logarithmic, and trigonometric functions) over the real numbers; and, as appropriate, the complex numbers.

23. Solve application and modeling problems using the trigonometric functions, identities, and the Laws of Sines and Cosines.

24. Graph piecewise-defined functions.

Topics and Scope

I. Topics Related to Developing Effective Learning Strategies

    A. Study skills: organization and time management

    B. Test preparation and test-taking skills

    C. Self-assessment: using performance criteria to judge and improve one's own work, analyzing and correcting errors on one's test

    D. Use of strategies identifying, utilizing, and evaluating the effectiveness of resources in improving one's own learning, which may include:

         1. Peer study groups

         2. Computer resources

         3. Lab resources

         4. Tutoring resources

         5. Growth mindset lessons

II. Concurrent Support for Calculus 1 Topics That May Include:

    A. Linear equations and inequalities in one variable

         1. Linear equations

         2. Applications of linear equations

         3. Linear inequalities

         4. Formulas

    B. Linear equations in two variables

         1. Cartesian coordinate system

         2. Graphing linear equations, including the slope-intercept method

         3. Finding the equation of a line

         4. Systems of equations in two variables

    C. Functions

         1. Definition of relation, function, domain, and range

         2. Function notation and evaluation

         3. Interval notation, intersection, and union

         4. Operations, including difference quotients and composition of functions

         5. Catalog of functions

         6. Analyze graphs of linear, polynomial, and radical functions with and without graphing technology

         7. Symmetry (even and odd functions)

         8. Analysis of Functions and Their Graphs

         9. Transformations of graphs (shifts, scaling, and reflections)

        10. Modeling

    D. Polynomial and rational functions

         1. Definition

         2. Operations

         3. Factoring

         4. Solving polynomial equations by factoring

         5. Graphs of Quadratic and polynomial functions of higher degree

         6. Quadratic Functions

              a. Vertex and general forms

              b. Discriminant

              c. Solutions to quadratic equations using factoring, quadratic formula, and completing the square

         7. Long division of polynomials

         8. Graphs of rational functions

         9. Domain and range of Rational Functions

        10. Asymptotes and holes

        11. Introduction to limit concepts and notation

        12. Solutions of polynomial and rational equations, using real numbers and complex numbers as appropriate

    E. Integer exponents and laws of exponents

    F. Radicals

         1. Square roots

         2. Simplification

         3. Sums and products of radicals

         4. Rationalizing denominators of square roots

         5. Higher-index radicals

         6. Pythagorean Theorem

         7. Radical equations

         8. Rational exponents

    G. Use of technology

         1. Evaluate and graph functions

         2. Solve equations and inequalities graphically

    H. Equations and inequalities

         1. Equations

              a. Solutions of literal equations

              b. Algebraic and graphical solutions of linear, quadratic, and radical equations

         2. Inequalities

              a. Algebraic solutions to linear inequalities

              b Graphical solutions of linear and nonlinear (radical, quadratic, rational, etc.) inequalities using graphing technology

    I. Absolute value functions

         1. Domain and range

         2. Introduction to graphs

         3. Equations

    J. Exponential functions

         1. Domain and range

         2. Graphs

         3. Properties

         4. Equations

    K. Logarithmic functions

         1. Domain and range

         2. Graphs

         3. Properties

         4. Expand and condense

         5. Equations

    L. Introduction to applications and modeling

    M. Inverse, exponential, and logarithmic functions

         1. Definitions

         2. Properties

         3. Graphs

         4. Equations

         5. Applications

    N. Trigonometric functions

         1. Radian and degree measures of angles

              a. Arc length

              b. Area of a sector

              c. Linear and angular velocity

         2. Right triangle and unit circle definitions

         3. Characteristics of trigonometric functions

    O. Identities and conditional equations

         1. Fundamental identities

         2. Sum and difference identities

         3. Related identities and their derivations

         4. Conditional trigonometric equations and applications

    P. Graphical representation of trigonometric functions

         1. Amplitude

         2. Reflections

         3. Period

         4. Phase (horizontal) shift

         5. Vertical shifts

    Q. Inverse trigonometric functions

         1. Definitions

         2. Properties

         3. Graphs

    R. Solutions of triangles

         1. Right triangles

         2. Oblique triangles

         3. Laws of Sines and Cosines

         4. Applications

Assignments:

1. Reading outside of class (0-60 pages per week)

2. Problem sets, practice tests, group work, creation of lecture notes

3. Creation of appropriate formula page

4. Test and quiz correction(s) with written metacognitive understanding of solution correction(s) (0-10 per semester)

5. Growth mindset written response(s) (0-10 per semester)

6. Quiz(zes) (0-4 per week)

7. Project(s) (0-5)

8. Exam(s) (1-5)

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%
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 and this course includes essay exams that fulfil the writing component of the course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 5 - 80%
Problem sets, practice tests, group work, lecture notes
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 20 - 70%
Quiz(zes); exam(s)
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 50%
Project(s), creation of appropriate formula page, test correction(s), and growth mindset written response(s)

Representative Textbooks and Materials:

Precalculus. 3rd corrected ed. Stitz, Carl and Zeager, Jeffrey. Open Source Text. 2013. (classic).

Instructor prepared materials

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