Course title: College Algebra
Course prefix, number, and section number: MATH 1314 504
Semester/Year of course: Spring 2022
Semester start and end dates: (16-wk) 1/18/2022 – 5/14/2022;
Modality: Face to face Tue/Thurs 9:30-10:50 am
Semester credit hours: 3 (Lecture hours: 48)
Course description: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included.
Course prerequisites: Meet TSI college-readiness standard for College Algebra or equivalent
Required course materials: College Algebra, Lial/Hornsby/Schneider/Daniels, 13th edition, Pearson, 2021 or MyLab Math access code (e-text included in MyLab Math)
Scientific calculator, TI-30X IIS is recommended
Graphing calculators and phone calculators will not be allowed on exams.
Name of instructor: Cary Crawford
Office location: Flower Mound Campus, room 107
Telephone number:
E-mail address: ccrawford@nctc.edu
Office hours for students: Mon/Wed 12:30-2:00; Tue/Thu 11-12
STUDENT HOURS (OFFICE HOURS)
Each week instructors have time set aside to meet with students outside of class. (Traditionally these times have been called “office hours”.) This is a time when a student may ask questions regarding the class, or discuss a particular problem/topic with an instructor one-on-one. Student hours may be held in-person or online. See below for instructions on where/when/how instructors will offer student hours in this class.
Email me at ccrawford@nctc.edu to set up an appointment or come by my office during the above listed times.
MATH TUTORING LAB
Students who need help with any math class can visit the NCTC Mathematics Lab to receive assistance. There are math tutors available on every campus and online. Sign up for an appointment or see the most current tutoring hours for all campuses at http://www.nctc.edu/student-services/student-success/tutoring/mathematics-lab.html
SYLLABUS CHANGE DISCLAIMER
The faculty member reserves the right to make changes to this published syllabus if it is in the best interest of the educational development of this class. Any such changes will be announced as soon as possible in person and/or writing.
SUMMARY OF COURSE ASSIGNMENTS
List of graded assignments:
1.1 Solving Linear Equations Jan 20
1.2 Mixture and Motion Problems Jan 23
1.3 Complex Numbers Jan 23
Quiz 1 (1.1-1.3) Jan 25
1.4 Quadratic Equations Jan 27
1.5 Quadratic Applications Jan 30
1.6 Rational and Radical Equations Jan 30
1.7 Inequalities Feb 3
1.8 Absolute Value Equations and Inequalities Feb 3
Quiz 2 (1.4-1.8) Feb 6
EXAM 1 (1.1-1.8) Feb 8
2.1 Distance Formula Feb 13
2.2 Circles Feb 17
2.3 Functions Feb 17
2.4 Slope And Graphing Feb 20
Quiz 3 (2.1-2.4) Feb 22
2.5 Writing Equations of Lines Feb 24
2.6 Parent Functions and Piecewise Functions Feb 27
2.7 Transformations Feb 27
Graph Shifting – OFFLINE HWK DUE IN CLASS Mar 1
2.8 Composite Functions/Difference Quotient Mar 1
Quiz 4 (2.5-2.8) Mar 2
EXAM 2 (2.1-2.8) Mar 3
3.1 Quadratic Functions and Graphing Mar 10
3.2 Synthetic Division; Remainder Theorem Mar 20
3.3 Factor Theorem Mar 20
Quiz 5 (3.1-3.3) Mar 22
3.4 Polynomial Graphs Mar 24
Polynomial - OFFLINE HWK DUE IN CLASS Mar 24
3.5 Rational Graphs Mar 27
Rational – OFFLINE HWK DUE IN CLASS Mar 29
3.6 Variation Mar 27
4.1 Inverse Functions Mar 31
4.2 Exponential Functions Mar 31
Quiz 6 (3.4-4.2) Apr 3
Exponential – OFFLINE HWK DUE IN CLASS Apr 5
EXAM 3 (3.1-3.6, 4.1-4.2) Apr 5
4.3 Logarithmic Functions Apr 10
4.4 Logs with Calculators; Change of Base Rule Apr 14
4.5 Exponential and Logarithmic Equations Apr 14
4.6 Log Applications Apr 17
Quiz 7 (4.3-4.6) Apr 19
5.1 Solving Systems – Substitution/Elimination Apr 21
5.5 Non – Linear Systems Apr 21
5.2 Solving Systems with Matrices Apr 24
5.7 Matrix Properties, Operations Apr 28
5.3 Determinants and Cramer’s Rule Apr 28
7.1 Sequences, Sums, Sigma Notation May 1
Quiz 8 (5.1-5.3, 5.5, 5.7, 7.1) May 1
EXAM 4 (4.3-7.1) May 3
Final (Comprehensive) May 12
Homework assignments are worth 10% of the final grade
Quizzes are worth 15% of the final grade
Exams are 75% of the final grade
Final grade scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
*The final exam is a departmental comprehensive algebra exam and must be taken by all students. The final exam may also be used to replace the lowest unit test grade.
Late work policy: Homework may be completed late for 20% off. No late quizzes will be accepted. I will allow one make-up exam IF you notify me ahead of time.
SEE CANVAS FOR THE COMPLETE COURSE CALENDAR, OUTLINE, DETAILED DESCRIPTION OF GRADED WORK, AND OTHER RELATED MATERIAL.
COURSE POLICIES
Academic Integrity Policy:
Scholastic dishonesty shall include, but is not limited to cheating, plagiarism, academic falsification, intellectual property dishonesty, academic dishonesty facilitation, and collusion. The use of online math solvers with submitted work is considered academic dishonesty. Faculty members may document and bring charges against a student who is engaged in or is suspected to be engaged in academic dishonesty. See Student Handbook, “Student Rights & Responsibilities: Student Code of Conduct ([FLB(LOCAL)]”.
Consequences for academic dishonesty may include:
- Zero on the assignment
- Failing grade for the course
Attendance Policy:
Regular and punctual attendance is expected of all students in all classes for which they have registered. All absences are considered to be unauthorized unless the student is absent due to illness or emergencies. It is the student’s responsibility to provide documentation as to the emergency for approval by the faculty member. Approved college-sponsored activities are also excused absences. The instructor is responsible for judging the validity of any reason given for an absence. Valid reasons for absence, however, do not relieve the student of the responsibility for making up required work. Students will not be allowed to make up an examination missed due to absence unless the absence is documented and excused by the instructor. Student will be dropped from a class by the Registrar upon recommendation of the instructor who feels the student has been justifiably absent or tardy a sufficient number of times to preclude meeting the course’s objectives. Persistent, unjustified absences from classes or laboratories will be considered sufficient cause for College officials to drop a student from the rolls of the College. From Board Policy FC (LOCAL)
Withdrawal Policy
A student may withdraw from a course on or after the official date of record. It is the student’s responsibility to initiate and complete a Withdrawal Request Form.
Last day to withdraw from the course with a “W” is: (16-wk) Monday, April 4, 2022
Student Learning Outcomes: At the successful completion of this course the student will be able to:
- Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.
- Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations.
- Apply graphing techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Recognize, solve, and apply systems of linear equations using matrices.
Core Objectives:
X Critical Thinking
X Communication
X Empirical and Quantitative
Teamwork
Personal Responsibility
Social Responsibility
COLLEGE POLICIES