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Fall 2021

Math/Science Preparatory Courses:

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MSP163 - Math/Science Prep 3

Credits: 2

Catalog Description: This course is the third semester of a four (4) semester preparatory curriculum designed to provide the knowledge and skills necessary for participating in the STEM enrichment program including readiness for MAT 136, CHE 101, and PHY 131. Students will begin an exploration of science and math topics typically covered in CHE 100 – Introduction to Chemistry and review components of MAT 102 – Algebra 2. Students will encounter general, organic and biological chemistry by exploring topics such as measurement, atomic and molecular structure, chemical and physical bonding, gas properties, chemical reactions, acid/base chemistry, organic molecule structure and functional groups, and common groups of biological molecules (carbohydrates, lipids and proteins) while reviewing the solving of first degree inequalities, introduction to functions, linear equations in two variables and graphing, solving systems of two or three linear equations and inequalities, a brief review of polynomial operations and factoring.

Lecture: 2 hrs.

Course Learning Outcomes (CLOs):
Content from CHE 100 - Upon successful completion of the MSP163 course as documented through writing, objective testing, case studies, laboratory practice, and/or classroom discussion, students will be able to:

1.Explore natural phenomena through observation, hypothesis development, measurement and data collection, experimentation, evaluation of evidence, and employment of mathematical analysis.*

Content from MAT 102 - Upon successful completion of the MSP 161, 162, 163, and 164 series of courses as documented through writing, objective testing, case studies, laboratory practice, and/or classroom discussion, the student will be able to:

1. Correctly translate and solve first-degree equations and inequalities.

*2. Given a relation, identify if it is a function. If so, find its domain and range, and then correctly evaluate the function given a value in its domain.

3. Given a linear equation, correctly graph it on a rectangular coordinate system.

4. Find the equation of a line given one of the following:
a.A point on the line and the slope of the line
b.Two points on the line
c.A point on the line and the equation of a line parallel or perpendicular to it

5. Given a system of linear equations, correctly solve the system by graphing, substitution or the addition method.

6. Given a system of inequalities, solve the system by the graphing method.

7. Given two or more polynomials, correctly add, subtract, multiply or divide the expressions.

8. Given two or more rational expressions, correctly add, subtract, multiply or divide the expressions.

9. Given an equation involving rational expressions, correctly solve the equation.

10. Given two or more radical expressions, add, subtract, multiply and divide the expressions and write the answer in simplest form.

11. Given two complex numbers, add, subtract, multiply or divide the numbers and write the answer in the form a + bi.

12. Given a quadratic equation, solve it by factoring, taking square roots, completing the square or using the quadratic formula.

* This course objective has been identified as a student learning outcome that must be formally assessed as part of the Comprehensive Assessment Plan of the college. All faculty teaching this course must collect the required data and submit the required analysis and documentation at the conclusion of the semester to the Office of Institutional Research and Assessment.


Content Outline:
MSP 163 Content will be selected from the following CHE 100 topics:
1. Math and measurement - dimensional analysis method; measurement and uncertainty
2. Atoms and monatomic ions - nuclear model, atomic number, mass number and isotopes
3. Compounds - ionic vs molecular bonding, Lewis structure, shape and polarity
4. Intermolecular Forces - chemical vs physical bonding; types of physical bonding; molecular level view of phase changes
5. Gases - molecular theory of gases; properties
6. Chemical reactions - atom rearrangement, compound ratio, mass to mole conversion, stoichiometry
7. Solutions - molecular level view of solubility; concentration units
8. Acids and bases- strong vs weak, pH, acid-base neutralization reactions.
9. Organic chemistry intro - structural and skeletal formulas, polarity and physical properties
10. Organic functional groups - overview of primary groups, select reactions
11. Organic molecules - 3 dimensional structure - examples showing isomers and chirality
12. Biochemistry - carbohydrates, lipids and proteins - identification of molecules and functional groups; Fischer projections and 3D structures; chirality

Content from MAT 102 (review of the following)

(Omitting sections 1 & 2)

3. LINEAR FUNCTIONS AND EQUATIONS IN TWO VARIABLES
3.1 The Rectangular Coordinate System
A. Graph points in a rectangular coordinate system
B. Find the length and midpoint of a line segment
C. Graph a scatter diagram (optional)
3.2 Introduction to Functions
A. Evaluate a function
3.3 Linear Functions
A. Graph a linear function by using the t-table method
B. Graph an equation of the form Ax + By = C by using the t-table method
C. Find x- and y-intercepts of a straight line
D. Application problems
3.4 Slope of a Straight Line
A. Find the slope of a line given two points
B. Graph a line given a point and a slope
3.5 Finding Equations of Lines
A. Find the equation of a line given a point and the slope
B. Find the equation of a line given two points
C. Application problems (optional)
3.6 Parallel and Perpendicular Lines
A. Find parallel and perpendicular lines
3.7 Inequalities in Two Variables
A. Graph the solution set of an inequality in two variables

4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
4.1 Solving Systems of Linear Equations by Graphing and by the Substitution
Method
A. Solve a system of linear equations by graphing
B. Solve a system of linear equations by substitution
C. Solve investment problems (optional)
4.2 Solving Systems of Linear Equations by the Addition Method
A. Solve a system of two linear equations in two variables by the addition
method
B. Solve a system of three linear equations in three variables by addition method
4.3 Solving Systems of Equations by Using Determinants (optional)
4.4 Application Problems
A. Solve rate-of-wind or rate-of-current problems
B. Solve application problems
4.5 Solving Systems of Linear Inequalities
A. Graph the solution set of a system of linear inequalities

5. POLYNOMIALS
5.1 Exponential Expressions
A. Multiply monomials
B. Divide monomials and simplify expressions with negative exponents
C. Write a number using scientific notation
D. Solve application problems (optional)
5.2 Introduction to Polynomials
A. Evaluate polynomial functions
B. Add or subtract polynomials
5.3 Multiplication of Polynomials
A. Multiply a polynomial by a monomial
B. Multiply two polynomials
C. Multiply polynomials that have special products
D. Solve application problems
5.4 Division of Polynomials
A. Divide polynomials using long division
B. Divide polynomials using synthetic division
C. Evaluate a polynomial using synthetic division (optional)
5.5 Factoring Polynomials
A. Factor a monomial from a polynomial
B. Factor by grouping
C. Factor a trinomial of the form x2 + bx + c
D. Factor ax2 + bx + c
5.6 Special Factoring
A. Factor the difference of two perfect squares or a perfect-square trinomial
B. Factor the sum or difference of two perfect cubes
C. Factor a trinomial that is quadratic in form
D. Factor completely
5.7 Solving Equations by Factoring
A. Solve an equation by factoring
B. Solve application problems

6. RATIONAL EXPRESSIONS
6.1 Multiplication and Division of Rational Expressions
A. Find the domain of a rational function
B. Simplify a rational function
C. Multiply rational expressions
D. Divide rational expressions
6.2 Addition and Subtraction of Rational Expressions
A. Rewrite rational expressions in terms of a common denominator
B. Add or subtract rational expressions
6.3 Complex Fractions
A. Simplify a complex fraction
6.4 Ratio and Proportion
A. Solve a proportion
B. Solve application problems
6.5 Rational Equations
A. Solve a fractional equation
B. Solve work problems
C. Solve uniform motion problems (optional)
6.6 Variation
A. Solve variation problems

7. RADICAL EXPRESSIONS
7.1 Rational Exponents and Radical Expressions
A. Simplify expressions with rational exponents
B. Write exponential expressions as radical expressions and vice versa
C. Simplify radical expressions that are roots of perfect powers
7.2 Operations on Radical Expressions
A. Simplify radical expressions
B. Add or subtract radical expressions
C. Multiply radical expressions
D. Divide radical expressions
7.3 Solving Equations Containing Radical Expressions
A. Solve a radical equation
B. Solve application problems
7.4 Complex Numbers
A. Simplify a complex number
B. Add or subtract complex numbers
C. Multiply complex numbers
D. Divide complex numbers

8. QUADRATIC EQUATIONS
8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
A. Solve a quadratic equation by factoring
B. Write a quadratic equation given its solutions
C. Solve a quadratic equation by taking square roots
8.2 Solving Quadratic Equations by Completing the Square
A. Solve a quadratic equation by completing the square (Limit examples to those with a Lead Coefficient of One.)
8.3 Solving Quadratic Equations by Using the Quadratic Formula
A. Solve quadratic equations by using the quadratic formula
8.4 Solving Equations that are Reducible to Quadratic Equations (optional)
8.5 Quadratic Inequalities and Rational Inequalities (optional)
8.6 Applications of Quadratic Equations
A. Solve application problems

Effective Term: Fall 2013