The advance of any country has dependably been emphatically connected with information and learning. King Saud University, the chief foundation of advanced education in the Kingdom of Saudi Arabia, was built up in 1957 to improve the country's development and prosperity.

ing Saud University does not confine its parts to educating and research, notwithstanding, yet augments its down to earth and fundamental scholarly capacities to the improvement of Saudi social insurance and the necessities of the private segment.

Saud University’s Preparatory Year Deanship Basic Science Department Syllabus and Contents of Math 150 Course Details:


In this course the understudy will:

Define and apply the properties of points of confinement of capacities.

State the meaning of congruity and figure out where a capacity is nonstop or irregular.

Find the subordinate of a logarithmic capacity by utilizing the meaning of a subsidiary.

Apply equations to locate the subordinate of mathematical, trigonometric, exponential, and logarithmic capacities and their inverses.

Apply equations to locate the subordinate of the whole, item, remainder, backwards, and composite (chain control) of rudimentary capacities.

Find the subsidiary of a verifiably characterized work.

Find the higher request subsidiaries of arithmetical, trigonometric, exponential, and logarithmic capacities.

Use logarithmic separation as a system to separate non logarithmic capacities.

State (without confirmation) the Mean Value Theorem for subsidiaries and apply it both logarithmically and graphically.

Use L'Hopital's run to discover the point of confinement of capacities whose cutoff points yield the uncertain structures.

Apply the subordinate to take care of issues, including digression and typical lines to a bend, bend portraying, speed, increasing speed, related rates of progress, and enhancement issues

Contents:

Limits and Continuity of Functions: Concept of Limit, Computation of Limits, Infinite Limits, Limits at Infinity, Continuity and Consequences, Limits of Trigonometric Functions.

Derivatives of Functions: The Derivative, Computation of Derivatives, The Chain Rule, Derivatives of Trigonometric Functions, Derivatives of Logarithmic and Exponential Functions, Implicit Differentiation, The Mean Value Theorem.

Applications of Derivatives: Indeterminate Forms and L'Hopital's Rule, Monotonic Behavior of Functions, Concavity and Inflection Points, Absolute Extrema, Optimization, Curve Sketching.

Textbook:

Calculus Made Simple, First Edition, 2012
Authors:
Dr. Khaled Khashan, Dr. Ayman Khashan, Dr. Sofian Obeidat

References:

Anton, Bivens, Davis: Calculus: Early Transcendentals Combined, 8th Edition, 2005.

Salas, Hill, Etgen. Calculus: One and Several Variables, 9th Edition, 2003.

Course Schedule and Contents



Contact:

King Saud University
P. O. BOX 2454, Riyadh 11451
Secretary: +966 1 4670888
Fax: +966 1 4677580