Spinelli Center for Quantitative Learning
Spring 2016 Review Workshops

Review Sessions conducted by candidates for lecturer in the math department

Tuesday, January 26, 4:15-5pm, Burton 301.  Solving simultaneous equations. Review presentation will focus on techniques to solve simultaneous equations (e.g., intersecting lines).

Wednesday, January 27, 4:15-5pm, Burton 301.  The unit circle.  Review presentation will focus on the composition of the unit circle and its uses in and out of calculus.

Tuesday, February 2, 4:15-5pm, Burton 301.  Properties of exponents & logarithms.  Review presentation will focus on the properties of exponents and logarithms and their uses in and out of calculus.

Wednesday, February 3, 4:15-5pm, Burton 301.  Second fundamental theorem of calculusReview presentation will focus on the second fundamental theorem of calculus (aka construction theorem for antiderivatives), which is used to find antiderivatives of functions that do not have elementary antiderivatives.

Review Sessions conducted by Spinelli Center staff

All sessions are held in Wright Hall room 238.  Material will be presented on the following topics, with ample time for practice.

Monday, February 8th, 7-9pm: Basics of Differentiation.  Define differentiation.  Review differentiation formulas: the power rule, the product rule, the quotient rule, and the chain rule.  Differentiate exponential, logarithmic, and trigonometric functions.

Tuesday, February 9th, 7-9: Basics of Integration. Define integration.  Properties of integrals.  Definite and indefinite integrals. Integration by substitution (time permitting).

Monday, February 15th: 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).

Tuesday, February 16th: 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.  Solve a set of linear equations (intersecting lines).

Thursday, February 18th: Trigonometric Functions.  Define trigonometric functions in terms of the unit circle.  Graphing the sine, cosine and tangent functions. Review identities and inverse trigonometric functions (time permitting).

TBD 7-9pm: Taylor Series. A review of series and sequences for students taking math methods or calculus III.

If you would like to review topics listed below, please contact Karyn Nelson (krnelson@smith.edu) to arrange an appointment:

Significant Figures
Scientific Notation
Simultaneous Equations & Intersecting Lines
Conversion of Units
Percentages
Triangle basics
Exponential & Logarithmic Functions
Basics of Functions
Descriptive Statistics
Inferential Statistics

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