MATH-2412 Precalculus: Functions and Graphs
Mary Gilmer
Credit Spring 2023
Section(s)
MATH-2412-035 (57377)
LEC MW 1:30pm - 3:15pm EGN EGN1 1201
Course Requirements
Grades
Grade Components
Tests: 80%
Homework: 10%
Textbook homework, classwork, etc. : 10%
Grading Scale
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: < 60
What will we do in this class?
Homework: Online homework through ALEKS will be required every class. Textbook portion of the homework, written, will be due every Monday, with the sections covered during the last week due.
Quizzes: Classroom quizzes will be announced or unannounced, and combine with the written homework, and classwork.
Group work: Groupwork, and class work will be assigned periodically to be completed during class.
What happens if I miss something?
Dropped Grade Policy: 2 written homework grades and 4 online homework grades will be dropped.
Late Work Policy: No written homework will be accepted late. Due at the beginning of class. ALEKS homework will be accepted late with a 20% grade reduction.
Missed Exam Policy: For test 1-3, if a student must miss an exam for an excused reason, Professor must be informed in advance, and the grade can be replaced with the comprehensive portion of the final exam. Only 1 test may be replaced.
Attendance/Class Participation Expectations and Policy: Regular and punctual class and laboratory attendance is expected of all students. If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class.
Readings
Required Materials
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and ALEKS, has been added to your tuition and fees bill.
Textbook: College Algebra & Trigonometry, 1st Edition by Miller & Gerken. McGraw-Hill (ALEKS software) ISBN: 9780078035623
Use of Graphing Utilities: We will use graphing calculators and/or graphing software when their use enhances the understanding of a mathematical idea. Graphing calculators are not required for this course. However, it is required that you have access to some technology that allows you to graph functions and find their zeros. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. You will use calculators in class every day, please make sure they are with you. Cell Phones are not allowed to be used as a calculator. If you do not have a calculator, you may check one out from the library on campus.
Other Technology: Desmos.com may be used for this class for a graphing utility during and outside of class. Desmos.com use will not be allowed during tests.
Course Subjects
Course Calendar
Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement.
Week |
Section |
Material |
Jan 18 |
R |
Survey of challenging algebra: exponents, inverses, composition |
Jan. 23, 25 |
5.1 ,5.2, 5.3 |
Angles and Their Measure; Right Triangle Trigonometry, Trigonometric Functions of Any Angle |
Jan. 30, Feb 1 |
5.4, 4.4 |
Trigonometric Functions Defined on the Unit Circle; Properties of Logarithms |
Feb. 6, 8 |
4.5, 4.6 |
Exponential and Logarithmic Equations; Modeling with Exponential and Logarithmic Functions |
Feb. 13, 15 |
Test 1, 3.5 |
Test 1-Feb. 13, (5.1, 5.2, 5.3, 5.4, 4.4, 4.5, 4.6) ; Rational Functions |
Feb. 20, 22 |
3.6, 5.5 |
Polynomial and Rational Inequalities; Graphs of Sine and Cosine Functions |
Feb. 27, Mar. 1 |
5.5, 5.6 |
Graphs of Sine and Cosine Functions; Graphs of Other Trigonometric Functions |
Mar. 6, 8 |
6.1, 6.2, 6.3 |
Fundamental Trigonometric Identities; Sum and Difference Formulas; Double- and Half-Angle Formulas |
Mar. 20, 22 |
Test 2, 5.7 |
Test 2- Mar. 20, (3.5, 3.6, 5.5, 5.6, 6.1, 6.2, 6.3) ; Inverse Trigonometric Functions |
Mar. 27, 29 |
6.5, 7.1 |
Trigonometric Equations; Applications of Right Triangles |
Apr. 3, 5 |
7.2, 7.3, 7.4 |
The Law of Sines; The Law of Cosines; Harmonic Motion and Combinations of Trigonometric Functions |
Apr. 10, 12 |
8.4, 8.5 |
Vectors; Dot Product |
Apr. 17, 19 |
Test 3, 11.6 |
Test 3 Apr. 17 (5.7, 6.5, 7.1, 7.2, 7.3, 7.4, 8.4, 8.5); Plane Curves and Parametric Equations |
Apr. 24, 26 |
11.1, 11.2, 11.3 |
The Ellipse; The Hyperbola and Parabola |
May 1, 3 |
8.1, 8.2 |
Polar Coordinates; Graphs of Polar Equations |
May 8, 10 |
Review, Exam |
Review; Final Exam- May 10 |
Important Dates
Last day for 70% refund: Feb. 6
Last day to withdraw: April 24
Holidays: Spring break, March 13-17, College closed March 18-19, Easter, April 9
(Please note these are the ONLY holidays this semester.)
Student Learning Outcomes/Learning Objectives
Course Content
Course Description
Credit Hours: 4, Contact Hours: 4
MATH 2412 Precalculus: Functions and Graphs (4-4-0). A course designed to prepare students for Calculus I (MATH 2413). Content includes the study of algebraic, rational, logarithmic, exponential, and trigonometric functions, graphs, equations, and applications; trigonometric identities; parametric equations; conic sections; vectors; the polar coordinate system.
Course Rationale
This course is designed to teach students the algebraic and trigonometric modeling concepts needed for scientific/engineering calculus.
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.
General Education Competencies
- 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 12:50 PM - 1:30 PM EGN, Adjunct faculty office 1204
NOTE Additional time is available by appointment. Email mgilmer@austincc.edu to make an appointment.T Th 9:30 AM - 10:30 AM HLC 1423.003
NOTE Additional time is available by appointment. Email mgilmer@austincc.edu to make an appointment.M W 5:00 PM - 6:00 PM Online, in Blackboard classroom
NOTE Additional time is available by appointment. Email mgilmer@austincc.edu to make an appointment.M W F 8:00 AM - 9:00 AM HLC 1423.003
NOTE Additional time is available by appointment. Email mgilmer@austincc.edu to make an appointment.Published: 01/19/2023 16:19:48