MATH-1314 College Algebra

Kanthimathi Sathasivan

Credit Spring 2024

Section(s)

MATH-1314-101 (76613)
LEC TuTh 3:00pm - 4:20pm DIL DLS DIL

Course Requirements

TESTS AND FINAL EXAM

There are four tests and a comprehensive final exam. You will be taking them in a proctored environment.

 

MYLAB MATH HOMEWORK:

MyLab Math homework are assigned and are due periodically. You may want to start early on those and complete them on time. Due dates may change depending on material covered in class.

 

WRITTEN ASSIGNMENTS

You will learn Math and get the practice for the tests only by doing the homework. For every class you will need 3 to 4 hours to do the homework. Homework problems will be assigned during every class meeting for your practice.  You may have quizzes and worksheets to do in class or at home after certain lessons, or some chapters. Sometimes, the quiz or worksheet may be a collaborative learning activity or a class presentation.

QUIZZES

Periodically, there will be a quiz covering the material learned.

 

Grade Components

Tests and Final Exam: 75%

MyLab Math Homework: 10%

Written Homework: 5%

Quizzes: 10%

Grading Scale

A: 90 - 100

B: 80 – 89

C: 70 – 79

D: 60 – 69

F: < 60

Readings

 

TEXT: First Day Access

To enhance your learning experience and provide affordable access to the right course material, this course is part of an inclusive access model called First Day™. You can easily access the required materials for this course through Blackboard, at a discounted price, and benefit from single sign-on access with no codes required.


Austin Community College includes the discounted price as a course fee in your registration fees for this course.



 

Course Subjects

 

Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement.

Week

Sections

Material

1

1.3

Functions and Their Representations

2

1.4, 2.1

Types of Functions and Their Rates of change, Equations of Lines

3

2.2, 2.3

Linear Equations, Linear Inequalities

4

2.4, R.4, Test 1 (1.3 to 2.4)

More Modeling with Functions, Factoring Polynomials

5

3.1, 3.2, 3.3

Quadratic Functions and Models, Quadratic Equations and Problem Solving, Complex numbers

6

3.4, 3.5

Quadratic Inequalities, Transformations of Graphs

7

4.1, 4.2

More Nonlinear Functions and Their Graphs, Polynomial Functions and Models

8

Test 2 (3.1 to 4.2), 4.4

Real Zeros of Polynomial Functions

9

4.6, 4.7

Rational Functions and Models, More Equations and Inequalities

10

5.1, 5.2

Combining Functions, Inverse Functions and Their Representations

11

Test 3 (4.4 to 5.2), 5.3

Exponential Functions and Models

12

5.4, 5.5

Logarithmic Functions and Models, Properties of Logarithms

13

5.6, 6.1

Exponential and Logarithmic Equations and Inequalities, Functions and System of Equations in Two Variables

14

6.3, 6.4

Systems of Linear equations in Three variables, Solutions to Linear Systems Using Matrices

15

Test 4 (5.3 to 6.4), 6.5

Properties and Applications of Matrices

16

Review, Final Exam

Review of the course, Comprehensive Final Exam

 

Student Learning Outcomes/Learning Objectives

 

Common Course Objectives

Functions:

  • Use and interpret function notation.
  • Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.
  • Find a symbolic representation of the sum, difference, product, quotient, and composition of two functions.
  • Evaluate the sum, difference, product, quotient, and composition of two functions at a given value of the respective domain for functions represented symbolically, graphically, and numerically.
  • Find the inverse of a function represented symbolically, graphically, or numerically.
  • Interpret the graphs of functions.

Graphing functions:

  • Sketch the graphs of the following functions: Lines, x2, ax, and logax
  • Identify and sketch transformations of the graphs of the following functions: x2, x3, x1/2, 1/x, 1/x2, |x|.
  • Describe the end behavior of polynomial functions.
  • Approximate the zeros of a function from its graph.
  • Solve an inequality involving a function from its graph.
  • Graph a piece-wise defined function.

Symbolic Adeptness:

  • Solve polynomial, rational, exponential, and logarithmic equations symbolically.
  • Use the Fundamental Theorem of Algebra
  • Find the vertex of a parabola written in standard form by using the formula  h = -b/2a.
  • Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.
  • Evaluate exponential and logarithmic functions using the change of base formula and a calculator.
  • Use the properties of logarithms to expand a logarithmic expression, and to write an expanded logarithmic expression as a single logarithm.
  • Solve a system of linear equations using Gaussian elimination.
  • Evaluate the sum, difference and scalar multiplication of matrices.

Applications

  • Recognize and use applications of linear functions.
  • Recognize and use applications of quadratic functions, including falling object problems and extrema problems.
  • Recognize and use applications of rational functions. 
  • Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling time, and half-life problems.
  • Recognize and use applications of systems of linear equations.

 

Student Learning Outcomes

Upon successful completion of the course, a student should be able to:

  1. Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.
  2. Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.
  3. Apply graphical, symbolic and numeric techniques.
  4. Evaluate all roots of higher degree polynomial and rational functions.
  5. Recognize, solve and apply systems of linear equations using matrices.

General Education Competencies

  1. Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
  2. Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
  3. Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 4, and 5.
  4. Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.

 

 

Office Hours

T Th 1:20 PM - 2:20 PM Virtual on Zoom

NOTE or by appointment

T Th 4:20 PM - 4:50 PM Virtual on Zoom

NOTE or by appointment

Office Hours

T Th 1:20 PM - 2:20 PM Virtual on Zoom

NOTE or by appointment

T Th 4:20 PM - 4:50 PM Virtual on Zoom

NOTE or by appointment

Published: 01/17/2024 12:39:43