Master essential calculus concepts specifically tailored for business applications through this comprehensive video course series spanning nearly 16 hours of instruction. Begin with foundational algebra skills including factoring, solving equations, and linear functions before progressing to advanced topics like supply and demand analysis. Explore various function types including quadratic, rational, exponential, and logarithmic functions, with special emphasis on financial applications such as effective interest rates. Develop a thorough understanding of limits, continuity, and the fundamental concept of derivatives through multiple calculation techniques including the product rule, quotient rule, and chain rule. Apply derivative concepts to analyze increasing and decreasing functions, find relative and absolute extrema, and solve real-world optimization problems. Learn advanced applications including elasticity of demand analysis and curve sketching techniques using concavity and higher-order derivatives. Complete your calculus foundation by mastering antiderivatives, integration through u-substitution, and the Fundamental Theorem of Calculus, culminating in practical applications such as calculating area between curves and determining producer and consumer surplus in economic contexts.

Syllabus

Business Calculus: Factoring (R.2) Math with Professor V
Business Calculus: Solving Equations (R.4) | Math with Professor V
Business Calculus: Slopes & Equations of Lines (1.1) | Math with Professor V
Business Calculus: Linear Functions & Applications, Supply & Demand (1.2) | Math with Professor V
Business Calculus: Properties of Functions (2.1) | Math with Professor V
Business Calculus: Quadratic Functions (2.2) | Math with Professor V
Business Calculus: Rational Functions (2.3) | Math with Professor V
Business Calculus: Exponential Functions (2.4) | Math with Professor V
Business Calculus: Logarithmic Functions (2.5) | Math with Professor V
Business Calculus: Effective Rate of Interest & Finance Applications (2.6) Math with Professor V
Business Calculus: Limits (3.1) | Math with Professor V
Business Calculus: Continuity (3.2) | Math with Professor V
Business Calculus: Rates of Change-Average vs. Instantaneous (3.3) | Math with Professor V
Business Calculus: Definition of the Derivative (3.4) | Math with Professor V
Business Calculus: Techniques for Finding Derivatives (4.1) | Math with Professor V
Business Calculus: Derivatives of Products and Quotients (4.2) | Math with Professor V
Business Calculus: The Chain Rule (4.3) | Math with Professor V
Business Calculus: Derivatives of Exponential Functions (4.4) Math with Professor V
Business Calculus: Derivatives of Logarithmic Functions (4.5) | Math with Professor V
Business Calculus: Increasing and Decreasing Functions (5.1) | Math with Professor V
Business Calculus: Relative Extrema (5.2) | Math with Professor V
Business Calculus: Higher Derivatives, Concavity & 2nd Deriv Test (5.3) | Math with Professor V
Business Calculus: Curve Sketching (5.4) | Math with Professor V
Business Calculus: Absolute Extrema & The Extreme Value Theorem (6.1) Math with Professor V
Business Calculus: Applications of Extrema - Optimization Problems (6.2) | Math with Professor V
Business Calculus: Further Applications - Elasticity of Demand & More (6.3) | Math with Professor V
Business Calculus: Antiderivatives (7.1) | Math with Professor V
Business Calculus: Substitution aka Integration using U-Substitution (7.2) | Math with Professor V
Business Calculus: The Fundamental Theorem of Calculus (7.4) | Math with Professor V
Business Calculus: Area Between Two Curves -Producer & Consumer Surplus (7.5)| Math with Professor V