Tutoring Resource Center

Overview Summer Semester Online Tutoring Tutoring Resource Center Policies Math Tutorial Videos Science and Economics Tutorial Videos
**Summer Session
5/29/18 - 8/2/18
Mon. - Thur. 9am to 4pm
Fri. 9am to 12 noon
**

Video topics include:

- Addition/subtraction and multiplication/division
- Negative numbers and absolute values
- Decimals (basic operations, rounding, percentages, significant figures, etc.)
- Fractions (basic operations, equivalent fractions, mixed numbers, word problems, etc.)

Video topics include:

- Basic geometry (lines, angles, shapes, coordinate place, area, volume, etc.)
- Geometry tools and properties

Video topics include:

- Trigonometry with right triangles (solving for a side/angle, special ratios, etc.)
- Trigonometry with general triangles (law of sines, law of cosines)
- Unit circle definitions of trig. functions (radians, graphs, trig. identities, etc.)
- Graphs of trigonometric functions
- Solving trigonometric equations

Video topics include:

- One-variable and two varialbe linear equations and inequalities
- Units of measurement
- Functions (evaluating functions, interpreting functions, domain, range, piecewise functions, interpreting graphs, rates of change, etc.)
- Word problems
- Systems of equations
- Absolute value functions and inequalities
- Expressions with rational ezponents and radicals
- Introduction to exponential functions
- Introduction to polynomials
- Polynomial factorizations (including factoring techniques)
- Quadratic equations (including factoring techniques)

Video topics include:

- Manipulating functions (composition, shifting, stretching, finding the inverse, etc.)
- Introduction to complex numbers
- Arithmetic with polynomial (addition/subtraction, multiplication, long/synthetic division)
- Polynomial functions (factoring methods, finding zeros, end behaviors, graphs, symmetry)
- Radical functions (solving, graphing, addition/subtraction, multiplications/division, etc.)
- Exponential functions (equivalent forms, modeling growth and decay)
- Logarithmic functions (properties of logs, change of base, solving, graphs)
- Trigonometric functions

Video topics include:

- Trigonometric equations and identities
- Conic sections (equations of circle, ellipse, parabola, hyperbola)
- Matrices (row operations, multiplying matrices, determinants, inverses, etc.)
- Imaginary and complex numbers
- Parametric equations and polar coordinates
- Probability and combinatorics
- Sequences and series overview
- Preview to calculus topics

Video topics include:

- Independent and dependent events (probability, Venn diagrams, basic set operations, etc.)
- Probability and combinatorics (permutations, combinations)
- Regression (scatter plots, linear regressions and correlations, residuals)
- Introduction/overview to statistics topics

Video topics include:

- Pre-calculus review
- Differential calculus (limits, derivatives, applications)
- Integral calculus (integrals, techniques, applications, sequences, series)
- Multivariable calculus (topics and overview)

Video topics include:

- First order differential equations (separable equations, homogeneous equations, etc.)
- Second order differential equations (linear homogeneous equations, method of undetermined coefficients)
- Laplace transforms

Video topics include:

- Vectors and spaces (linear combinations and spans, linear dependence, subspaces, dot and cross products, null spaces, etc.)
- Matrix transformations (linear transformations, inverse functions and transformations, determinants, transpose, etc.)
- Alternate coordinate systems (orthogonal complements, orthogonal projections, change of basis, etc.)

Mary Lou Wlodarek

SSC 1252

(618) 650‑2055

mwlodar@siue.edu

Fax: (618) 650‑3448