This is a schedule for a ~15 week course covering
linear, quadratic, power, exponential, logarithmic,
and general polynomial and rational functions:
how manipulate them algebraically, the geometry of their graphs,
and their use as models for certain phenomenon.
Within each section there are links to
textbook chapters, recommended readings, video lectures,
Desmos demonstrations,
problem sheets, assignments, and past midterm exams.
Chapters enumerated with § refer to
College Algebra 6ed , by Harshbarger & Yocco
Week One · August 17
Mon/Tuesday – §1.1 Functions and Models
Wednesday – §1.2 Graphs of Functions
Thursday – Syllabus + Early-Term Assessment
Week Two · August 24
Mon/Tuesday – §1.3 Linear Functions
Wednes/Thursday – §1.4 Equations of Lines
Week Three · August 31
Mon/Tuesday – §2.1 Solutions of Linear Equations
Wednes/Thursday – §2.2 Fitting Lines to Data Points
Week Four · September 7
Mon/Tuesday – §2.3 Systems of Linear Equations and §2.4 Inequalities
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Week Five · September 14
Mon/Tuesday – §3.1 Quadratic Functions; Parabolas
Wednes/Thursday – §3.2 Solving Quadratic Equations
Notes: Quadratic Equations, Part II , Paul Dawkins
Notes: Quadratic Equations, A Summary , Paul Dawkins
Notes: Applications of Quadratic Equations , Paul Dawkins
Notes: Parabolas , Paul Dawkins
Lecture: The Square Root Method in Solving Quadratics , Professor Leonard
Lecture: Using Factoring to Solve Quadratics , Professor Leonard
Lecture: Completing the Square Made Easy , Professor Leonard
Lecture: Proving the Quadratic Formula , Professor Leonard
Lecture: Using the Quadratic Formula , Professor Leonard
Lecture: Graphing Quadratic Functions , Professor Leonard
Week Six · September 21
Mon/Tuesday – §3.3 Power and Root Functions, and Direct Variation
Wednes/Thursday – §3.5 Quadratic and Power Modelling
Week Seven · September 28
Mon/Tuesday - §3.4 Piecewise-Defined Functions
Wednes/Thursday – §4.1 Transformations of Graphs and §4.2 Combining Functions
Week Eight · October 5
Mon/Tuesday – §4.3 One-to-One and Inverse Functions
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Week Nine · October 12
Mon/Tuesday – §5.1 Exponential Functions
Wednes/Thursday – §5.2 Logarithmic Functions
Week Ten · October 19
Mon/Tuesday – §5.3 Exponential and Logarithmic Equations
Wednes/Thursday – §5.4 Exponential and Logarithmic Models
Week Eleven · October 26
Mon/Tuesday – §5.5 Exponential Functions and Investing
Wednes/Thursday – §5.6 Annuities; Loan Repayment
Week Twelve · November 2
Mon/Tuesday – §5.7 Logistic and Gompertz Functions
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Week Thirteen · November 9
Mon/Tuesday – §6.1 Higher-Degree Polynomial Functions
Wednes/Thursday – §6.2 Cubic and Quartic Functions
Week Fourteen · November 16
Mon/Tuesday – §6.3 Solving Polynomial Equations
Wednes/Thursday – §6.4 The Fundamental Theorem of Algebra
Week Fifteen · November 23
Thanksgiving Break, No Class
Week Sixteen · November 30
Mon/Tuesday – §6.5 Rational Functions
Wednes/Thursday – §6.6 Rational Inequalities
Final Exam
Section 008 – Probably Monday December 7 @ 1pm
Section 013 – Probably Monday December 7 @ 3pm
References
College Algebra in Context with Applications Ronald J. Harshbarger and Lisa S. Yocco
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