Santa Barbara City College Course Outline

MATH 130C - Support for Calculus for Biological Sciences, Social Sciences and Business I

MATH 130C
Support for Calculus for Biological Sciences, Social Sciences and Business I
Disciplines
Mathematics (Masters Required)
2.000
0 - May not be repeated
A review of core prerequisite skills, competencies and advanced algebra concepts for calculus. Intended for students who are concurrently enrolled in Math 130 Calculus for Biological Sciences, Social Sciences and Business I at Santa Barbara City College. Review topics include skills developed in college algebra, with an emphasis on refining skills in algebraic manipulation, functions and geometry.
32.000-36.000 Total Hours
Total Hours
64.000-72.000 Total Hours
32.000-36.000 Total Hours
Prerequisite: MATH 137 or equivalent based on SBCC's Assessment Center placement via multiple measures.
Prerequisite or Corequisite: None
Concurrent Corequisite: MATH 130
Course Advisories: None
Limitation on Enrollment: None
Course Objectives:
Use specific study habits, such as the use of reading and metacognitive strategies, to improve understanding and performance.
Apply geometric concepts to solve problems involving triangles, cylinders, and rectangular prisms.
Use refined skills in algebraic manipulation and simplification of polynomial, radical, and rational expressions.
Solve linear, quadratic, exponential, logarithmic, radical, and rational equations, as well as linear and non-linear systems.
Analyze and apply the general concepts of functions, the algebra of functions, composition, and inverse functions.
Identify properties of polynomial, power, rational, exponential and logarithmic functions and their graphs.
Student Learning Outcomes
MATH130C SLO1 - Use a problem solving process to extract relevant information and execute relevant geometric and advanced algebraic calculations/simplifications.
MATH130C SLO2 - Interpret results derived from geometric and advanced algebraic calculations relevant to the solution of a problem.

  1. Develop study habits that promote success in Calculus for Biological Sciences, Social Sciences and Business I , such as the use of reading and metacognitive strategies to improve understanding and performance. (SLO?)

  2. Geometry

    1. Triangle geometry

    2. Pythagorean theorem

    3. Similar triangles

    4. Volumes of cylinders and rectangular prisms

    5. Surface areas of cylinders and rectangular prisms

  3. Linear Equations

    1. Solving linear equations

    2. Graphing lines using slope-intercept form and general/standard form

    3. Modeling with linear equations using point-slope form

  4. Algebra

    1. Unit analysis, including rates

    2. Factoring techniques

    3. Simplifying polynomial and rational expressions

    4. Solving quadratic equations by square root method,  factoring, and the quadratic formula

    5. Exponents, including negative and fractional

    6. Radicals

    7. Properties of logarithms

    8. Solving exponential and logarithmic equations

    9. 2x2 systems

    10. Complex fractions

  5. Functions

    1. Function notation

    2. Function evaluation, including difference quotient

    3. Even and odd functions, both algebraic and graphical interpretations

    4. Domain and range

    5. Reading, analyzing and creating graphs

    6. Function composition

    7. Inverse functions

      1. notation

      2. numerically, algebraically, and graphically

      3. domain and range

Statement: Course will cover a SUBSET of these topics in just-in-time remediation for the “parent” course.



Methods of Instruction
Directed Study
Discussion
Lecture
Student activities, groupwork, and computer-facilitated instruction (optional).

Completely factor the following expressions:

(a) -8x^2 - 8x + 30

(b) 16x^3 + 2

A. Writing Assignments: Students must work on assigned mathematical problems requiring the manipulation of abstract symbols. B. Appropriate Outside Assignments: Students will be expected to spend a sufficient amount of time outside of class to practice techniques taught during class time, read assigned materials, and complete homework assignments. C. Appropriate Assignments that Demonstrate Critical Thinking: Students must demonstrate mathematical skills such as equation solving and graphing which involve analyzing information, recognizing concepts in new contexts, and drawing analogies. Critical thinking will also be emphasized through numerous treatments of word problems.
A grading system will be established by the instructor and implemented uniformly. Grades will be based on demonstrated proficiency in subject matter determined by multiple measurements for evaluation, one of which must be essay exams, skills demonstration or, where appropriate, the symbol system. 1)Independent exploration activities which measure students’ ability to analyze the connections between the numeric, algebraic, and verbal representations of various types of algebraic expressions, equations, graphs when applied to real-world problems and data analysis. 2)Quizzes and exams (including a comprehensive in-class final exam) which measure students’ ability to work independently using graphic, numeric, and algebraic techniques. 3)Homework in which students apply graphic, numeric and algebraic principles discussed in class to a series of practice problems to help them formulate questions and receive feedback from the instructor, tutors, or classmates. 4)(Optional) Computer laboratory assignments in which students apply algebraic principles and problem-solving techniques discussed in class to help students identify gaps in their skill attainment and concept mastery and to improve their symbolic manipulation abilities and problem-solving skills. Out-of-Class Assignments 1)Problem sets 2)Exploratory activities and/or projects 3)Reading and/or writing assignments
  • Projects/activities created by SBCC Math faculty.
09/28/2018
Board of Trustees: 12/13/2018
CAC Approval: 11/19/2018