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Introduction: Calculus 1, Calculus 2, Business Math, Trigonometry, Algebra, Engineering: Osman Anwar
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My name is Osman Anwar; I am Professor of Engineering and Business Mathematics. This is Introduction to University/College: Business Calculus, Business Math & Financial Math, Calculus 1, Calculus 2, AP Calculus, Trigonometry, College Algebra, Development Math (DMAT) / Intermediate Algebra Videos – Engineering and Business Mathematics Tutorials: Osman Anwar ( 数学 , Matemáticas , गणित , رياضيات )
Four Education Channels:
1) Channel 1: Business Calculus & Business Math - Financial Mathematics Tutorials: Osman Anwar
2) Channel 2: Engineering/STEM Calculus 2 & Calculus 1 and High School AP Calculus Tutorials: Osman
3) Channel 3: Engineering/STEM Trigonometry & PreCalculus and High School Geometry Tutorials
4) Channel 4: Engineering/STEM College Algebra & Development Math and High School Algebra 2 & Algebra 1
Business Calculus: Derivative & Integral, Marginal Cost, Marginal Revenue, Marginal Profit, Optimization, Maximize Profit, Maximize Revenue, Minimize Cost, Average Cost, Optimal Quantity, Related Rate, Marginal and Derivative, Introduction to Limits, Differentiation, Integration, Implicit Differentiation:
* Limits, Continuous, Rates of Change , Product, Quotient, Chain, Power
* Concavity, Inflection Point, Implicit, Related Rates, Power Rule, Logarithm, Exponential, Fundamental Theorem of Calculus, Applications of Integral, Integration by Parts
* Financial Mathematics, Business Math, Business Calculus, Annuity Payments, Future & Present value of Annuity, Compounded Interest, Investment, Insurance, Business Analysis, Monopoly, Competitive
Business Math - Finance Math: Simple Interest, Compound Interest, Future value of compound interest, Present value of compound interest, Future value of annuity, Present value of annuity, Ordinary annuity, Annuity due, Annuity Payment, Linear Programming, Simplex Method & Graphic Method, Optimization, Maximize Profit, Maximize Revenue, Minimize Cost, Feasible Region, Product exchange function, Economics Input-Output Analysis, Revenue, Cost, Profit, Price, Demand Function, Supply Function, Monopoly Market, Competitive Market, Profit and Loss in Business Math:
* Linear Programming, Simplex Method, Maximization Applications, Probability, Probability of Distribution, Expect Value, Permutations, Combinations, Decision Making
Calculus 2: Trig Substitution Integrals, Partial Fraction, Area Between Curves, Volume of Revolution - Disk & Washer Method and Cylindrical Shells Method, Parametric Arc Length, Area in Polar Coordinate, Power Series - Radius & Interval of Convergence, Maclaurin Series, Taylor Series, Centroid of Region – Part 2:
* Integration by Parts, Trigonometric Integrals and Substitutions, Partial Fractions, Integration with Tables, Approximate Integration, Improper Integrals
* Arc Length, Area of a Surface of Revolution, Calculus Applications to Physics & Engineering
Calculus 1 - Introduction to Limits, Derivative, Integration, Related Rates, Maximum Volume, Acceleration, Velocity, Distance:
* Limit, Rates of Change, Derivative, Product, Quotient, Chain, Implicit, Related Rates, Logarithmic, Exponential , Inverse, Indeterminate, L’Hospitals, Maximum, Minimum, Mean Value Theorem, Optimization, Definite & Indefinite Integral, Fundamental Theorem of Calculus, The Substitution Rule
* Integration by Parts, Partial Fractions, Tables Integration, Approximate, Improper Integrals
Trigonometry: Basic Trigonometry, Trigonometry fundamentals, How To Graph Trigonometric Functions, How to Solve Right Triangles, Solve Trigonometric Equations using Identities, How to Solve trigonometric equation by factoring, Trigonometry Graphs with Transformations, Phase Shifts, Period, Graph of Trigonometry Functions: sin - cos - tan - csc - sec - cot, Angular & Linear Speed, Rectangular & Polar Forms, Power and Roots of Complex Numbers:
* Similar Triangles, Trigonometric, Acute Angles, Non-Acute Angles, Right Triangles
- College Algebra: Pythagorean Theorem, Binomial Expansion using Pascal's Triangle, Graphing Rational Functions, Graphing Inequality Functions
- Development Math (DMAT) / Intermediate Algebra: Introduction to Factoring, Linear Inequality, Slope & Intercept, Rational Expression, Complex Numbers - Adding, Multiplying, Dividing, Conjugates
* Graphing, Slope, Modeling, Equations, Functions, Zeros, Increasing, Decreasing, Piecewise, Composition, Symmetry, Transformations, Complex Numbers, Quadratic, Rational, Radical, Inequalities, Absolute Value
* Polynomials Models, Polynomial Division, Remainder Theorem, Polynomial Inequalities, Rational Inequalities, Inverse, Exponential, Logarithmic Properties, Growth & Decay, Compound Interest, Systems of Equations, Matrices, Factoring, Trinomials Factoring, Polynomial Factoring, How to Factor Polynomials
Four Education Channels:
1) Channel 1: Business Calculus & Business Math - Financial Mathematics Tutorials: Osman Anwar
2) Channel 2: Engineering/STEM Calculus 2 & Calculus 1 and High School AP Calculus Tutorials: Osman
3) Channel 3: Engineering/STEM Trigonometry & PreCalculus and High School Geometry Tutorials
4) Channel 4: Engineering/STEM College Algebra & Development Math and High School Algebra 2 & Algebra 1
Business Calculus: Derivative & Integral, Marginal Cost, Marginal Revenue, Marginal Profit, Optimization, Maximize Profit, Maximize Revenue, Minimize Cost, Average Cost, Optimal Quantity, Related Rate, Marginal and Derivative, Introduction to Limits, Differentiation, Integration, Implicit Differentiation:
* Limits, Continuous, Rates of Change , Product, Quotient, Chain, Power
* Concavity, Inflection Point, Implicit, Related Rates, Power Rule, Logarithm, Exponential, Fundamental Theorem of Calculus, Applications of Integral, Integration by Parts
* Financial Mathematics, Business Math, Business Calculus, Annuity Payments, Future & Present value of Annuity, Compounded Interest, Investment, Insurance, Business Analysis, Monopoly, Competitive
Business Math - Finance Math: Simple Interest, Compound Interest, Future value of compound interest, Present value of compound interest, Future value of annuity, Present value of annuity, Ordinary annuity, Annuity due, Annuity Payment, Linear Programming, Simplex Method & Graphic Method, Optimization, Maximize Profit, Maximize Revenue, Minimize Cost, Feasible Region, Product exchange function, Economics Input-Output Analysis, Revenue, Cost, Profit, Price, Demand Function, Supply Function, Monopoly Market, Competitive Market, Profit and Loss in Business Math:
* Linear Programming, Simplex Method, Maximization Applications, Probability, Probability of Distribution, Expect Value, Permutations, Combinations, Decision Making
Calculus 2: Trig Substitution Integrals, Partial Fraction, Area Between Curves, Volume of Revolution - Disk & Washer Method and Cylindrical Shells Method, Parametric Arc Length, Area in Polar Coordinate, Power Series - Radius & Interval of Convergence, Maclaurin Series, Taylor Series, Centroid of Region – Part 2:
* Integration by Parts, Trigonometric Integrals and Substitutions, Partial Fractions, Integration with Tables, Approximate Integration, Improper Integrals
* Arc Length, Area of a Surface of Revolution, Calculus Applications to Physics & Engineering
Calculus 1 - Introduction to Limits, Derivative, Integration, Related Rates, Maximum Volume, Acceleration, Velocity, Distance:
* Limit, Rates of Change, Derivative, Product, Quotient, Chain, Implicit, Related Rates, Logarithmic, Exponential , Inverse, Indeterminate, L’Hospitals, Maximum, Minimum, Mean Value Theorem, Optimization, Definite & Indefinite Integral, Fundamental Theorem of Calculus, The Substitution Rule
* Integration by Parts, Partial Fractions, Tables Integration, Approximate, Improper Integrals
Trigonometry: Basic Trigonometry, Trigonometry fundamentals, How To Graph Trigonometric Functions, How to Solve Right Triangles, Solve Trigonometric Equations using Identities, How to Solve trigonometric equation by factoring, Trigonometry Graphs with Transformations, Phase Shifts, Period, Graph of Trigonometry Functions: sin - cos - tan - csc - sec - cot, Angular & Linear Speed, Rectangular & Polar Forms, Power and Roots of Complex Numbers:
* Similar Triangles, Trigonometric, Acute Angles, Non-Acute Angles, Right Triangles
- College Algebra: Pythagorean Theorem, Binomial Expansion using Pascal's Triangle, Graphing Rational Functions, Graphing Inequality Functions
- Development Math (DMAT) / Intermediate Algebra: Introduction to Factoring, Linear Inequality, Slope & Intercept, Rational Expression, Complex Numbers - Adding, Multiplying, Dividing, Conjugates
* Graphing, Slope, Modeling, Equations, Functions, Zeros, Increasing, Decreasing, Piecewise, Composition, Symmetry, Transformations, Complex Numbers, Quadratic, Rational, Radical, Inequalities, Absolute Value
* Polynomials Models, Polynomial Division, Remainder Theorem, Polynomial Inequalities, Rational Inequalities, Inverse, Exponential, Logarithmic Properties, Growth & Decay, Compound Interest, Systems of Equations, Matrices, Factoring, Trinomials Factoring, Polynomial Factoring, How to Factor Polynomials
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