1. Courses
  2. MTH104

Calculus and Analytic Geometry

  • Teacher
    Dr. Hafiz Obaid Ullah
  • Category
    Engineering
  • Course Code
    MTH104
  • Session
    Fall 2020

Course Material/Videos

Available Resources
15647 Lecture 1 - Orientation Fall 2020 Teaching modes for FALL 2020 Course Outlines Proposed Literature/Books Course Layout/Breakup Evaluation Modes Internal Evaluation External Evaluation Result Announcements Video Notes
15648 Lecture 2 - History of Calculus Pioneers of Calculus Ancient Medieval Early Modern Newton and Leibniz Newton Leibniz Legacy Applications Video Notes
15649 Lecture 3 - Preliminaries Real Numbers and the Real Line Intervals Solving Inequalities Absolute Values Video Notes
15650 Lecture 4 - Cartesian Coordinates in the Plane Increments and Straight Lines Parallel and Perpendicular Lines Distance and Circles in the Plane Video Notes
16348 Lecture 5 - Circles in the plane Parabolas Functions; Domain and Range Graph of Functions-Sketching Representing a Function Numerically Video Notes
16349 Lecture 6 - The Vertical Line Test Piecewise-Defined Functions Writing Formulas for Piecewise-Define Functions Identifying Functions; Mathematical Models Video Notes
16350 Lecture 7 - Increasing and Decreasing Functions Even Functions and Odd functions: Symmetry Mathematical Models Combining Functions: Shifting and Scaling Graphs Composite Functions Shifting a Graph of a Function Video Notes
16351 Lecture 8 - Scaling and Reflecting a Graph of a Function Trigonometric Function Radian Measure The Six Basic Trigonometric Functions Video Notes
16814 Lecture 9 - Periodicity and Graphs of the Trigonometric Functions Identities The Law of Cosines Transformation of Trigonometric Graphs Graphing with Calculators and Computers Video Notes
16815 Lecture 10 - Limits and Continuity Rates of Change and Limits Average and Instantaneous Speed Average Rate of Change and Secant Lines Limits of Function Values Using Calculators and Computers to Estimate Limits Video Notes
16820 Lecture 11 - Calculating Limits Using the Limit Laws The Limit Laws Eliminating Zero Denominators Algebraically The Sandwich Theorem Applications to the Sandwich Theorem Video Notes
16821 Lecture 12 - The Precise Definition of Limit Definition of Limit Examples: Testing the Definition Finding Deltas Algebraically for Given Epsilons Using the Definitions to Prove Theorems Video Notes
18558 Lecture 13 - One Sided Limits Finite Limits as x tends to infinity Limits at Infinity of Rational Functions Horizontal Asymptotes Oblique Asymptotes Video Notes
18559 Lecture 14 - Infinite Limits Vertical Asymptotes Finding Asymptotes-All Types-Exercise Video Notes
18560 Lecture 15 - Continuity Continuity at a Point Right and Left Continuous Continuity Test Types of Discontinuity Continuous Functions Properties of Continuous Functions Composites Continuous Extension at a Point Video Notes
18561 Lecture 16 - Differentiation Derivative as a function One sided derivatives Video Notes
18570 Lecture 17 - Differentiation Rules Video Notes
18571 Lecture 18 - The Derivative as a Rate of Change Derivatives of Trigonometric Functions Video Notes
19716 Lecture 19 - The Chain Rule Parametric Equations Video Notes
19717 Lecture 20 - Implicit Differentiation Related Rates Video Notes
20743 Lecture 21 - Differentials Extreme Values of Functions Video Notes
20744 Lecture 22 - The Mean Value Theorem Monotonic Functions and The First Derivative Test Video Notes
20747 Lecture 23 - Concavity Point of Inflection Second Derivative Test and Curve Sketching Applied Optimization Problems Video Notes
20748 Lecture 24 - Indeterminate Forms and L`Hopital`s Rule Antiderivatives Video Notes
20751 Lecture 25 - Integration The Definite Integral The Average or Mean Value of a Function The Fundamental Theorem of Calculus Total Area Canceling Area Video Notes
20752 Lecture 26 - Indefinite Integrals and the Substitution Rules Substitution and Area Between Curves Video Notes
20764 Lecture 27 - Applications of Definite Integrals Volumes by Slicing and Rotation About an Axis Solids of Revolution: The Disk Method Solids of Revolution: The Washer Method Video Notes
20765 Lecture 28 - Volumes by Cylindrical Shells: The Shell Method Lengths of Plane Curves Video Notes
20783 Lecture 29 - Moments and Centers of Mass Area of Surface of Revolution and the Theorems of Pappus Video Notes
20784 Lecture 30 - Sequences Infinite Series Video Notes
20786 Lecture 31 - The Integral Test Comparison Test The Ratio and Root Tests Alternating Series, Absolute and Conditional Convergence Video Notes
20787 Lecture 32 - Review/Course Summary Video Notes

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