Learning Support Services

# Tutoring Resource Center

Video topics include:

• 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)
• 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.)

#### TRC Coordinator

Mary Lou Wlodarek
SSC 1252
(618) 650‑2055
mwlodar@siue.edu
Fax: (618) 650‑3448