California State Polytechnic University, Pomona



The Learning Resource Center (LRC) is offering topic-based workshops for a number of math courses. WeekMondayTuesdayWednesdayThursdayFriday41819Linear Functions,Systems of Equations3:30-5:30 pm2021Solving Quadratic Equations & Factoring Techniques 3:30-5:30 pm22Unit Circle,Pythagorean Identities12-2 pm525Completing the Square 12:30-2 pm26Completing the Square (Review)Graphing: Parabolas3:30-5:30 pm2728Limits & Continuity3:30-5:30 pm29Integrals & Area12-2 pm62Properties & Solving: Exponents/ Logs12:30-2 pm3Domain and Range3:30-5:30 pm45Graphing: Exponential & Log Functions 3:30-5:30 pm6Derivatives &Rates of Change12-2 pm7910Unit Circle (Review)Verifying Trig Identities3:30-5:30 pm1112Inverse Trig Functions,Solving Trig Equations3:30-5:30 pm13Graphing: Piecewise & Absolute Value12-2 pm81617Antiderivatives & Integrals3:30-5:30 pm1819Graphing from Derivatives3:30-5:30 pm20Graphing: Misc. (Rational, Polynomials, Radical)12-2 pm923Related Rates12:30-2 pm24Optimization3:30-5:30 pm2526Review: Derivative Rules3:30-5:30 pm27103031Graphing: Trig Functions3:30-5:30 pm12Integrals & Area3:30-5:30 pm3 All workshops will take place in the LRC, on the 2nd floor of the Library, room 2921. ALL students are welcome to ALL workshops.Linear Functions, Systems of EquationsUnderstanding definition of lines. Different forms of linear equations, different ways to graph lines. Understanding systems of linear equations, how to solve systems and what the solution represents.Solving Quadratic Equations & Factoring TechniquesStandard form of quadratic equations, when and different ways to solve. Other important factoring techniques. Unit Circle, Pythagorean IdentitiesSetting up the unit circle, finding the angles, building the Pythagorean pleting the SquareHow to complete the square, using it to solve quadratic equations. Derivation of the quadratic pleting the Square (Review) Graphing: ParabolasPracticing CTS, using it to put quadratic functions into vertex form. Different forms of quadratic functions, graphing parabolas from these different forms.Limits & ContinuityDefinition of limits, understanding limits. Finding limits by looking at function graphs. Continuous functions and different types of discontinuities.Integrals & Area (Repeated Workshop)Idea of an integral. The difference between antiderivatives and integrals, the difference between definite and indefinite integrals. Finding the area under a curve.Properties & Solving: Exponents/ LogarithmsRelationship between exponential and logarithmic equations. Properties of exponents and using them to solve exponential equations. Properties of logarithms and how to solve equations with logs.Domain and RangeUnderstanding domain and range, how to find them by looking at a graph or from a given equation. Different kinds of domain restrictions, preserving domain.Graphing: Exponential & Logarithmic FunctionsTips on how to graph exponential and logarithmic functions by looking at the equation.Derivatives & Rates of ChangeLimit definition of derivative and understanding the derivative as a rate of change and slope of the tangent line. Difference between average rate of change and instantaneous rate of change.Unit Circle (Review) , Verifying Trig IdentitiesBrief review of the unit circle workshop, practice verifying trig identities and helpful strategies to keep in mind while solving those problems.Inverse Trig Functions, Solving Trig EquationsThe difference between trig functions and inverse (arc) trig functions. Solving trig equations and using the unit circle to find solutions. Antiderivatives & IntegralsHow to take the antiderivative. Idea of an integral. The difference between antiderivatives and integrals. Practice with integration. Graphing: Miscellaneous (Rational, Polynomials, Radical)How to graph polynomials, rational functions radical functions, from their standard forms. Related RatesPractice with related rates problems, and seeing the derivative as a rate of change. OptimizationPractice with optimization problems, and understanding some applications.Review: Derivative RulesPractice with finding derivatives of various functions to review chain rule, product & quotient rule, power rule, etc.Graphing: Trig FunctionsHow to graph trig functions: sine, cosine, tangent, secant, cosecant, and cotangent, using the unit circle ................
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