MathScienceTutor posts
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Geometric Series and Geometric Sequences
This video tutorial provides a basic introduction into geometric series and geometric sequences. It explains how to calculate the common ratio of a geometric sequence and how to determine the nth term of a geometric sequence. It explains how to write a general equation for a geometric series using a simple formula and how to calculate the partial sum of a geometric series as well as the infinite s...
Binomial Theorem Expansion - Pascal's Triangle
This video tutorial explains how to use the binomial theorem to foil and expand binomial expressions using pascal's triangle and combinations. This video also shows you how to find the nth term and its coefficient using a simple formula / equation. This video contains plenty of examples and practice problems.
Permutations and Combinations
This video tutorial focuses on permutations and combinations. It contains a few word problems including one associated with the fundamental counting principle. Permutations are useful to determine the different number of ways to arrange something where as combinations is useful for determining how many ways to combine something when the order does not matter such as selecting members to form a com...
Precalculus Final Exam Review - Part 1
This precalculus final exam review covers topics on logarithms, graphing functions, domain and range, arithmic sequences, geometric series, asymptotes, and more.
Precalculus Final Exam Review - Part 2
This is part 2 of the precalculus final exam review which consists of multiple choice and free response practice problems.
Calculus 1 Review - Limits, Derivatives, Continuity, & Integration
This back to school calculus 1 review video tutorial provides a basic introduction into 3 core concepts taught in a typical AP calculus ab course or a first semester of college calculus. This video covers limits, continuity, derivatives and integration.
Calculus 1 - Introduction to Limits
This calculus 1 review provides a basic introduction to limits. It explains how to calculate the limit of a function by direct substitution, factoring, using the common denominator of a complex fraction and multiplying by the conjugate in the case of radicals and square roots. In addition to finding the limit analytically, it explains how to calculate the limit of a function graphically. It covers...
Infinite Limits and Vertical Asymptotes
This calculus video tutorial explains how to evaluate infinite limits and vertical asymptotes including examples with rational functions, logarithms, trigonometric functions, square roots, and radicals. This video contains plenty of practice problems.
Limits at Infinity
This calculus video tutorial explains how to evaluate limits at infinity and how it relates to the horizontal asymptote of a function. Examples include rational functions, radical functions, inverse trigonometric functions and exponential functions. This video contains plenty of practice problems on evaluating limits at infinity analytically with radicals, square roots, and trig functions.
L'hopital's rule
This calculus video tutorial explains the concept of L'hopital's rule and how to use it to evaluate limits associated with indeterminate forms of zero and infinity. This video contains plenty of examples with ln / natural logs, trig functions, and exponential functions. It contains plenty of practice problems for you to work on.
Limits and Continuity
This calculus video tutorial provides multiple choice practice problems on limits and continuity.
3 Step Continuity Test
This calculus video tutorial explains how to identify points of discontinuity or to prove a function is continuous / discontinuous at a point by using the 3 step continuity test. This involves evaluating piecewise functions using one sided limits.
Continuity & Differentiability
This calculus video tutorial provides a basic introduction into continuity and differentiability. Continuity tells you if the function f(x) is continuous or discontinuous at some point in the interval (a,b). Points of discontinuity include holes, jump discontinuities, and infinite discontinuities. A hole is considered a removable discontinuity. Jump and infinite discontinuities are considered nonr...
Calculus 1 - Derivatives
This calculus 1 video provides a basic intro into derivatives.
Limit Definition of the Derivative
This calculus video tutorial shows you how to use limit process / definition of the derivative formula to find the derivative of a function that contains square roots and fractions. This video contains plenty of examples and practice problems.
Slope and Equation of Normal & Tangent Lines
This calculus video tutorial shows you how to find the slope and the equation of the tangent line and normal line to the curve / function at a given point. This video contains plenty of examples and practice problems.
Average and Instantaneous Rate of Change
This calculus video tutorial shows you how to calculate the average and instantaneous rates of change of a function. This video contains plenty of examples and practice problems.
Calculus - Position, Instantaneous Velocity, Acceleration
This calculus video tutorial explains the concepts behind position, velocity, acceleration, distance, and displacement, It shows you how to calculate the velocity function using derivatives and limits plus it contains plenty of notes, equations / formulas, examples, and particle motion practice problems for you to master the concept.
Product Rule For Derivatives
This calculus video tutorial provides a basic introduction into the product rule for derivatives. It explains how to find the derivative of a function that contains two factors multiplied to each other. It also explains how to use the product rule to find the derivative of a function with 3 factors. This video contains plenty of examples and practice problems.
Quotient Rule For Derivatives
This calculus video tutorial provides a basic introduction into the quotient rule for derivatives. It explains how to find the derivatives of fractions and rational functions. It contains plenty of examples and practice problems.
Chain Rule
This calculus video tutorial explains how to find derivatives using the chain rule. This lesson contains plenty of practice problems including examples of chain rule problems with trig functions, square root & radicals, fractions, ln, product rule, and quotient rule. This video gives you a simple way to find the derivative of a function using the chain rule.
Derivatives of Trigonometric Functions
This calculus video tutorial explains how to find the derivative of trigonometric functions such as sinx, cosx, tanx, secx, cscx, and cotx. It contain examples and practice problems involving the use of the product rule, quotient rule, and chain rule.
Implicit Differentiation
This calculus video tutorial explains how to calculate the first and second derivative using implicit differentiation. This video contains plenty of examples and practice problems that include trig functions.
