# Description: MATH WORKSHOPS SPRING 2016

**Description: MATH WORKSHOPS SPRING 2016**

The Learning Resource Center (LRC) is offering topic-based workshops for a number of math courses.

Week / Monday / Tuesday / Wednesday / Thursday / Friday4 / 18 / 19

Linear Functions,

Systems of Equations

3:30-5:30 pm / 20 / 21

Solving Quadratic Equations & Factoring Techniques

3:30-5:30 pm / 22

Unit Circle,

Pythagorean Identities

12-2 pm

5 / 25

Completing the Square

12:30-2 pm / 26

Completing the Square (Review)

Graphing: Parabolas

3:30-5:30 pm / 27 / 28

Limits & Continuity

3:30-5:30 pm / 29

Integrals & Area

12-2 pm

6 / 2

Properties & Solving:

Exponents/ Logs

12:30-2 pm / 3

Domain and Range

3:30-5:30 pm / 4 / 5

Graphing: Exponential & Log Functions

3:30-5:30 pm / 6

Derivatives &

Rates of Change

12-2 pm

7 / 9 / 10

Unit Circle (Review)

Verifying Trig Identities

3:30-5:30 pm / 11 / 12

Inverse Trig Functions,

Solving Trig Equations

3:30-5:30 pm / 13

Graphing: Piecewise & Absolute Value

12-2 pm

8 / 16 / 17

Antiderivatives & Integrals

3:30-5:30 pm / 18 / 19

Graphing from Derivatives

3:30-5:30 pm / 20

Graphing: Misc. (Rational, Polynomials, Radical)

12-2 pm

9 / 23

Related Rates

12:30-2 pm / 24

Optimization

3:30-5:30 pm / 25 / 26

Review: Derivative Rules

3:30-5:30 pm / 27

10 / 30 / 31

Graphing: Trig Functions

3:30-5:30 pm / 1 / 2

Integrals & Area

3:30-5:30 pm / 3

**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 Equations**

Understanding 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 Techniques**

Standard form of quadratic equations, when and different ways to solve.Other important factoring techniques.

**Unit Circle, Pythagorean Identities**

Setting up the unit circle, finding the angles, building the Pythagorean identities.

**Completing the Square**

How to complete the square, using it to solve quadratic equations.Derivation of the quadratic formula.

**Completing the Square (Review) Graphing: Parabolas**

Practicing CTS, using it to put quadratic functions into vertex form. Different forms of quadratic functions, graphing parabolas from these different forms.

**Limits & Continuity**

Definition 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/ Logarithms**

Relationship 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 Range**

Understanding 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 Functions**

Tips on how to graph exponential and logarithmic functions by looking at the equation.

**Derivatives & Rates of Change**

Limit 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 Identities**

Brief 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 Equations**

The difference between trig functions and inverse (arc) trig functions.Solving trig equations and using the unit circle to find solutions.

**Antiderivatives & Integrals**

How 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 Rates

Practice with related rates problems, and seeing the derivative as a rate of change.

Optimization

Practice with optimization problems, and understanding some applications.

Review: Derivative Rules

Practice with finding derivatives of various functions to review chain rule, product & quotient rule, power rule, etc.

Graphing: Trig Functions

How to graph trig functions: sine, cosine, tangent, secant, cosecant, and cotangent, using the unit circle