MTH 113: Pre-Calculus

Enrollment Message:

Terms of Use (More Info in Syllabi): Dual enrollment (DE) courses follow St. Clair County Community College (SC4)’s calendar. You consent to pay the SC4 in-district tuition/fees. Michigan Virtual will invoice eligible charges following enrollment/withdrawal date. Students or enrolling schools must buy required text/materials listed in syllabi. SC4 accepts SAT scores for DE eligibility. If student hasn’t taken the SAT, then SC4 will evaluate the student’s H.S. transcript. Upload files to Michigan Virtual’s Student Learning Portal (SLP). DE courses are limited to students attending public/private schools in Michigan. Nonresident or homeschooled students are not eligible. Students must complete the webform in their registration email. SC4 will contact the student directly with acceptance by mail and info on accessing the portal, college email, and online course content. SC4 will transmit scores electronically or by mail via Michigan Virtual. DE scores will not appear in the SLP.

Course Number: MTH 113

Credit Hours: 4

Contact Hours: 4 (Lecture); 0 (Lab); 0 (Other)

COURSE RATIONALE: This course is a compilation of topics from algebra and trigonometry with greater depth given to topics than in previous courses. It is designed to reinforce the concepts a student needs as a foundation for calculus.

CATALOG DESCRIPTION: MTH 113: Pre-Calculus. Topics include: limits, equations, identities, and functions. The functions studied include polynomial, rational, exponential, logarithmic, trigonometric, and their inverses. Calculators are used throughout course.

Prerequisites: MTH 110 And MTH 111 or MTH 112 or appropriate placement by college assessment score

Course Objectives/Outcomes: Upon completion of this course, students will be able to...

  1. analyze elementary mathematical functions using graphical, numerical and algebraic approaches.
  2. demonstrate the ability to work with equations, inequalities, identities, and the properties of polynomial, rational, exponential, logarithmic and trigonometric functions.
  3. solve meaningful application problems modeled by functions and relations with appropriate technology and multiple approaches.

Course Outline:

Algebra and Limits

Functions and graphs

Symmetry and Transformations

Quadratic Functions

Piecewise-Defined Functions

Combining Functions

Inverse Functions

Translating Words into Functions

The Tangent Line Problem

Polynomial Functions

Division of Polynomial Functions

Zeros and Factors of Polynomial Functions

Real Zeros of Polynomial Functions

Rational Functions

Partial Fractions

Angles and Their Measurement

The Sine and Cosine Functions

Graphs of Sine and Cosine Functions

Other Trigonometric Functions

Trigonometric Identities

Trigonometric Equations

Inverse Trigonometric Functions

Exponential Functions

Logarithmic Functions

Exponential and Logarithmic Models

The number e

Polar Coordinates

Graphs of Polar Equations

Conic Sections in Polar Coordinates

Parametric Equations

Linear Functions

Resources Included: Upon confirmation of the student's course registration, SC4 will mail an acceptance letter to each student's home address. This letter will contain additional information about login access to the SC4 Portal and establishing a college email account. Students will receive login information to the Canvas learning management system (LMS) via their college email account. The email will provide login procedures necessary to access the online course(s) for which a student is enrolled.

Additional Costs: Required Textbook / Materials: Students or their enrolling schools are responsible to purchase the required textbook and materials listed in the syllabus. Students are responsible for all tuition, books/supplies, and fees the school or school district does not pay; this includes the non-refundable student fee for dropped courses.

To locate your required textbook, use the SC4 Catalog Advanced Search to locate the Section Details and Book Details pertaining to your course section.

  1. If you have the section number for the course in which you have been registered by SC4, then you can select the Subject of the course name (e.g., Biology) along with the Course Number (e.g., 101) and Section number (e.g., 60) and then click the Search button in order to locate your section description. Click on the Section name and number hyperlink, and scroll down to view the Books Details and Pricing as well as the Book Details, including the required ISBN, title, author, and price. For additional help with textbook information, you may contact the SC4 Bookstore: (810) 989-5725
  2. If you do not yet have your section number or have not yet registered for the course, then you can locate this information by entering the Term (e.g, Fall 2021), the Course Subject (e.g., Accounting) and Course number (e.g., 211), and select “Online Course” for the Location, prior to clicking on the Search button. Click on “View Available Sections”. Finally click on a section to locate the Section Details and Book Details as described above. NOTE: Prior to purchasing required materials, students should verify that the book details match those displayed in their assigned section once SC4 has completed their dual enrollment registration.

Scoring System: Michigan Virtual does not assign letter grades, grant credit for courses, nor issue diplomas. Michigan Virtual will transmit the final letter grade awarded by SC4 for each dual enrollment course completed to the student and his/her enrolling school.

Time Commitment: Dual enrollment semester sessions are 12-weeks long: Students must be able to spend 1.5 or more hours per day in the course to be successful.

Technology Requirements: Students will require a computer device with headphones, a microphone, webcam, up-to-date Chrome Web Browser, and access to all web resources linked within the online course content provided by the SC4 Canvas learning management system.

Instructor Support System: For technical issues within your course, contact your SC4 instructor or the college at 810-984-3881.

Instructor Contact Expectations: Students can use their college email or other means provided by their instructor within the course syllabus or within their learning management system once the term has begun when they need instructor assistance. The instructor may describe additional communication options.

Academic Support Available: Disability Services - Support services are available to students at SC4 upon request. For information regarding services provided by St. Clair County Community College, contact the Achievement Center at (810) 989-5759. Students must self-identify their need for assistance.

Required Assessment: Online assessments consist of formative and summative assessments represented by computer-graded multiple choice, instructor-graded writing assignments including hands-on projects, model building and other forms of authentic assessments.

Technical Skills Needed: No special skills are required beyond being able to operate a computer and use word processing software.

Additional Information: [1] Dual enrollment courses follow unique start, end and last day to withdraw dates for St. Clair County Community College (SC4)’s academic calendar for courses [].

[2] You are consenting to pay the SC4 in-district tuition and fees for the course(s) selected []. Michigan Virtual will send an invoice for eligible charges following the enrollment/withdrawal date of each term. Students or their enrolling schools are responsible to purchase the required textbook and materials listed in the syllabus.

[3] SC4 accepts the SAT as qualifying scores for dual enrollment eligibility. If a student has not taken the SAT, then SC4 will evaluate the student’s high school transcript to determine college readiness. Upload the student’s SAT report and/or high school transcript to Michigan Virtual’s Student Learning Portal (SLP) [].

[4] Dual enrollment courses are limited to students attending public or private schools in the State of Michigan. Nonresident or homeschooled students are not eligible to dual enroll.

[5] SC4 will transmit a student’s scores electronically or by mail via Michigan Virtual. Dual enrollment scores will not appear in the SLP.

[6] Students must complete the online webform linked in their registration email before the enrollment will be confirmed.

[7] SC4 will contact the student directly with an acceptance letter and information on accessing the SC4 Portal, a college email account, and the online course content.


School Level: Postsecondary
Standards: None
NCAA Approved: Yes
Alignment Document: Document
Course Location:
NCES Code: 02110
MDE Endorsement Code:
MMC Minimum Requirements: Math - 4th Year Elective

When Offered: _Internal Use Only

Content Provider: SC4
Instructor Provider: SC4

Course Type: DUAL4