REVIEW WORKSHOPS

The Quantitative Learning Center
Fall 2009 Review Workshops

All sessions are held in the QLC on the second level of Neilson Library from 4:30-6pm.  Material will be presented on the following topics, with amply time for practice.

Thursday, September 10: Significant Figures and Scientific Notation. Identify a quantity's digits that carry meaning to the overall precision of the quantity. Use powers of 10 to describe very large and very small quantities.

Tuesday, September 15: Conversion of Units. Computing same base unit and different base unit conversions. Review SI, imperical, and US measurement systems.

Wednesday, September 16: Percentages. Define percentage change and percentage difference. Computing simple and compounding interest.

Tuesday, September 22: Basics of Lines.  Graph a line from an equation in point-slope form, slope-intercept form, or standard form.  Obtain the equation of a line from a graph.  Change from one equation form to another equation form.

Wednesday, September 23: Simultaneous Equations and Intersecting Lines.  Solving a set of equations containing multiple variables.  Use substitution method and elimination method to find exact value of variables.

Tuesday, September 29: Triangle Basics.  The basics of using triangles and trigonometry to find unknown quantities.  Similar triangles.  Review of basic trigonometric functions in terms of right triangles.

Wednesday, September 30: Trigonometric Functions.  Define trigonometric functions in terms of the unit circle.  Graphing the sine, cosine and tangent functions.  Determine the amplitude, period, and phase shift of sinusoidal functions.  Review some identities and inverse trigonometric functions.

Tuesday, October 6: Derivatives.  Review differentiation formulas: the power rule, the product rule, the quotient rule, and the chain rule.  Differentiate exponential, logarithmic, and trigonometric functions.

Wednesday, October 7: Properties of exponents and logarithms.  Review the properties of exponents (negative exponent rule, zero exponent rule, product rule, power rule, quotient rule, products raised to powers, quotients raised to powers) and properties of logarithms (product rule, quotient rule, power rule, change of base property).

Wednesday, October 14: Graphing Exponential and Logarithmic Functions. Derive a formula of an exponential function with 2 known points.  Finding the domain of a logarithmic function.  Show that exponential and logarithmic functions are inverses.

*RESCHEDULED (see below) Tuesday, October 20: Basics of Integration.  Define integration.  Properties of integrals.  Definite and indefinite integrals.

*RESCHEDULED (see below) Wednesday, October 21: Integration by Substitution.  Integration using the method of substitution, sometimes called u-substitution.

Tuesday, October 27: Basics of Integration.  Define integration.  Properties of integrals.  Definite and indefinite integrals.

Wednesday, October 28: Integration by Substitution and by Parts.  Integration using the method of substitution, sometimes called u-substitution, and by parts.