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 · January 19
Monday – Martin Luther King Jr day, No Class
Tues/Wednesday – §1.1 Functions and §1.2 Graphs of Functions
Thursday – Syllabus + Early-Term Assessment
Week Two · January 26
Mon/Tuesday – §1.3 Linear Functions
Wednes/Thursday – §1.4 Equations of Lines
Week Three · February 2
Mon/Tuesday – §2.1 Solutions of Linear Equations
Wednes/Thursday – §2.2 Fitting Lines to Data Points
Week Four · February 9
Mon/Tuesday – §2.3 Systems of Linear Equations and §2.4 Inequalities
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Week Five · February 16
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 · February 23
Mon/Tuesday – §3.3 Power and Root Functions, and Direct Variation
Wednes/Thursday – §3.5 Quadratic and Power Modelling
Week Seven · March 2
Mon/Tuesday - §3.4 Piecewise-Defined Functions
Wednes/Thursday – §4.1 Transformations of Graphs and §4.2 Combining Functions
Week Eight · March 9
Mon/Tuesday – §4.3 One-to-One and Inverse Functions
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Week Nine · March 16
Week Ten · March 23
Mon/Tuesday – §5.1 Exponential Functions
Wednes/Thursday – §5.2 Logarithmic Functions
Week Eleven · March 30
Mon/Tuesday – §5.3 Exponential and Logarithmic Equations
Wednes/Thursday – §5.4 Exponential and Logarithmic Models
Week Twelve · April 6
Mon/Tuesday – §5.5 Exponential Functions and Investing
Wednes/Thursday – §5.6 Annuities; Loan Repayment
Week Thirteen · April 13
Mon/Tuesday – §5.7 Logistic and Gompertz Functions
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Week Fourteen · April 20
Mon/Tuesday – §6.1 Higher-Degree Polynomial Functions
Wednes/Thursday – §6.2 Cubic and Quartic Functions
Week Fifteen · April 27
Mon/Tuesday – §6.3 Solving Polynomial Equations
Wednes/Thursday – §6.4 The Fundamental Theorem of Algebra
Week Sixteen · May 4
Mon/Tuesday – §6.5 Rational Functions
Wednes/Thursday – §6.6 Rational Inequalities
Final Exam
References
College Algebra in Context with Applications Ronald J. Harshbarger and Lisa S. Yocco
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