MATH-2412 Precalculus: Functions and Graphs
Rene Lumampao
Credit Fall 2024
Section(s)
MATH-2412-008 (91551)
LEC DIL ONL DIL
MATH-2412-015 (91556)
LEC DIL ONL DIL
Course Requirements
Course Evaluation/Grading Scheme:
10% Online Homework (You will need to submit your online-homework using ALEKS)
10% Handwritten Homework Submissions (You will need to submit through Blackboard)
80% Exams (You will have four exams 20% each)
Required Technology:
Access to a webcam and microphone are required for this course. Check with your instructor for details.
Readings
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.
It is NOT recommended that you Opt Out, as these materials are required to complete the course. You can choose to Opt Out on the first day of class, but you will be responsible for purchasing your course materials at the full retail price and access to your materials may be suspended. See your course in Blackboard for details.
Textbook: College Algebra & Trigonometry, 2nd Edition by Miller & Gerken. McGraw-Hill (ALEKS software) ISBN: 9781260260441 (hardcover), 9781264248841 (spiral bound), or 9781264248667 (ebook)
Online Component: ALEKS is required. Access to ALEKS is included in the First Day Access version of the text.
Course Subjects
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Survey of challenging algebra Chapter R (selected problems/topics) |
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Rational Functions |
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Polynomial and Rational Inequalities |
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Properties of Logarithms, Exponential and Logarithmic Equations |
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Modeling with Exponential and Logarithmic Functions |
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Angles and Their Measure and Right Triangle Trigonometry |
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Right Triangle Trigonometry (cont.) and Trigonometric Functions of Any Angle |
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Trigonometric Functions Defined on the Unit Circle |
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Graphs of Sine and Cosine Functions (review of transformations with non-trig problems) |
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Graphs of Other Trigonometric Functions |
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Fundamental Trigonometric Identities |
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Sum and Difference Formulas Double-Angle and Half-Angle Formulas |
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Inverse Trigonometric Functions |
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Trigonometric Equations |
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Applications of Right Triangles |
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The Law of Sines and The Law of Cosines |
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Harmonic Motion and Combinations of Trigonometric Functions |
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Polar Coordinates |
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Graphs of Polar Equations |
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Vectors |
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Dot Product |
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Plane Curves and Parametric Equations |
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The Ellipse, The Hyperbola |
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The Parabola |
Student Learning Outcomes/Learning Objectives
Student Learning Outcomes - Upon successful completion of the course, a student should be able to:
- Demonstrate and apply knowledge of properties of functions.
- Recognize and apply algebraic and transcendental functions and solve related equations.
- Apply graphing techniques to algebraic and transcendental functions.
- Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
- Prove trigonometric identities.
- Solve right and oblique triangles.
- Graph and transform equations in polar coordinates and using parametric equations.
- Apply vector operations and use vectors to solve applications.
- Demonstrate knowledge of the graphs and applications of conic sections.
Appropriate use of technology will be encouraged throughout the course.
The General Education Competency of:
- Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
- Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
- Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in every SLO.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
Office Hours
M W 11:35 AM - 12:35 PM Highland Campus HLC 4 Bldg 4000, Room 2310.57
NOTET Th 12:00 PM - 3:00 PM Online Office Hours
NOTEPublished: 08/23/2024 15:58:32