Calculus 1


This course is introducing the following topics

 

1)     Limits and Continuity: The Concept of Limit, Computation of Limits, Continuity and its Consequences, The Method of Bisections, Limits Involving Infinity, Asymptotes.

 

2)     The Derivative: Tangent Lines and Velocity, The Derivative, Computation of Derivatives: The Power Rule, Higher Order Derivatives, The Product and Quotient Rules, Chain rule. Derivatives of trigonometric functions. Exponential, logarithmic, and hyperbolic functions and their derivatives. Implicit differentiation and inverse function’s derivative. Derivatives of high order. Hospital‘s Rule and undetermined forms.

 

3)     Applications of the Derivative: Absolute and local extreme, critical points, tests for local extreme, concavity and inflection points, and applications. Rolle’s Theorem and the Mean

 

Value Theorem. Curve sketching using calculus. Optimization problems, Linear approximation. Newton and fixed point iteration methods.

 

4)     Integrals: Anti-derivatives, Indefinite Integral; Integration by Substitution; Integration by Parts; .Riemann sums; The Definite Integral; Area under curves; The Fundamental Theorems of Calculus; The Mean Value Theorem of Integration.

Office Hours

College Time 8:00 - 3:00

Office Hours

Wednesday: 8:00-9:00 AM
Thursday: 8:00-10:00 AM
Sunday: 8:00-10:00 AM




أرقام الاتصال


Follow Your Dreams

Hope is the dream of the waking man.

French Proverb

Academic advisory

Students Name

Students ID

S. No.

Hind Al-mutairi

321205194

1

Wafa Al-Saleh

321205250

2

Noura Al-Abdulwahab

321205480

3

Noura Al-dahmash

321205490

4

Ghaya Al-Shiba

321205673

5

Tahany Ayedh Al-Otaiby

331202233

6

Badriya Abdullah

331202235

7

Hiam Abdullah Al-Khayal

331202243

8

Nada Mulfy Al-Mutiry

331202251

9

Khazah mood

331202257

10

Hessah Abduallah

331202745

11

Reem Nawaf Naff

331203843

12

Alanood Mohammed

341203854

13

Bahayer Mohammed

341203859

14

Thekrayat Ebraheem

341204734

15

341204734

16


إحصائية الموقع

عدد الصفحات: 12

البحوث والمحاضرات: 6

الزيارات: 4017