اعلان بخصوص محتوى الاختبار النهائي في مقررات قسم مهارات الرياضيات للعام 1435-1436 هـ - Deanship of Preparatory Year Guideline
محتوى الاختبار النهائي في مقررات قسم مهارات الرياضيات للعام 1435-1436 هـ
سيتم اختبار الطلاب والطالبات في الاختبار النهائي في المحتوى التالي :
أولا: مقرر حساب التفاضل (150ريض - 4)
Chapter |
Section |
Example |
homework |
1 Limits and Continuity of Functions |
1.1 Concept of Limit |
2,4,6,7
|
1,9,10,11,12,22,25,28, 39 |
1.2 Computation of Limits |
1,2,3,4,5,7,8,9.10,12,13,16,17 |
9,16,23,24,25,26,31, 33,36,38,42,53,54,57 |
|
1.3 Infinite Limits |
1,2,3,4,5,6,7,8,9 |
1,4,5,6,9,11,17,18,19,21,22 |
|
1.4 Limits at Infinity |
1,2,3,5,7,8,9,10,11,13 |
1,2,4,5,7,8,10,12 |
|
1.5 Continuity and Consequences |
1,3,5,6,7,9,14,19, 21
|
1,14,16,20,25,27,30,3 3,41,43,49,51 |
|
1.6 Limits of Trigonometric Functions |
1,2,3,4,5,7,8,9,11,12, 13 |
2,8,9,11,12,13,15,16, 20,23 |
|
2 Derivatives of Functions |
2.1 The Derivative |
1,3 ,6 ,11,12 |
1,3,5,7,8,11,13,15,18, 19,25 |
2.2 The Derivative Computation of Derivatives |
1,2,3,4,5,6,9,10,13,14,15,16,17 |
1,3,5,11,17,18,19,20, 21,22,23,24,25,26,27, 32,34,38 |
|
2.3 The Chain Rule |
1,3,6,7,8,9,10 |
,3,9,11,13,18,24,26,
28, 29,30,33,34,37 |
|
2.4 Derivative of Trigonometric Functions |
1,2,3,4,5,6,7,8,10 |
1,5,8,12,13,16,28,29, 33,36,38,39,45,47
|
|
2.6 Derivatives of Logarithmic and Exponential Functions |
1,2,3,4,5,6,7 |
1,3,5,8,11,15,20,23,26 ,28,30,35,39,41
|
|
2.7 Implicit Differentiation |
1,3,4,5,7,8 |
2,3,9,11,15,19,21,23, 25,26,30,34 |
|
2.8 The Mean Value Theorem |
1,3,6 |
3,5,7,11,12,15,16 |
|
3 Applications Of Derivatives |
3.1 Indeterminate Forms and L'Hopital's Rule |
4,5,6(1,3),7
|
1,2,3,4,5,7,13,15,16 17,19,25,27,28,29,30, 31,34 |
ثانيا : مقرر مقدمة في الرياضيات (140 ريض - 2)
The Syllabus of Calculus (140 Math-2) in term of Exercises
Chapter |
Section |
Example |
homework |
|
Chapter One Equations and Inequalities |
1.1 |
Linear equations in one variable |
2,3,4,5,6,7,8,9,10,11,13,14 |
3,5,7,10,11,14,19,23,25,26,27,28,29,30 |
1.2 |
Linear inequalities |
2,3,4,6,7,8,9,10,11 |
1,2,3,5,6,9,12,14,17,18,19,20,21,23,25,29,30,31,33,35,36 |
|
1.3 |
Equations and inequalities involving absolute value |
1,2,3,4,5,6,7,8 |
1,2,3,4,5,8,9,10,11,13,15,17,20,21,22,25,26,28,29,32,35 |
|
1.5 |
Quadratic equations |
3,4,5,6,7,8,9,11,15,16 |
8,9,10,11,13,14,16,24,25,27,29 |
|
Chapter Two Functions |
2.1 |
Functions |
1,2,3,4,5,6,7,8 |
4,5,6,7,8,8,12,14,15,19,20,21,22,23,24,25,26,27,30,31,33,34,35,36,39,40,41 |
2.2 |
Graphing Functions |
2,3,5,6 |
3,5,7,9,28,30 |
|
2.4 |
Operations on Functions |
1,2,5,6 |
15,18,19,20,41,44,45,54,55,57,58,59 |
|
2.5 |
Inverse functions |
1,2,3,4,5,7 |
1,2,3,4,5,6,7,8,9,10,11,13,15,16,23,24,25,26,30,34,39,41,44,45 |
|
Chapter Three Exponential and Logarithmic functions |
3.1 |
Exponential Functions |
1,2,3,4,5,6 |
11,13,14,15,18 |
3.2 |
Logarithmic Functions |
1,2,3,4(a,b,c),5,7,8,12 |
1,4,6,7,9,10,11,12,13,14,15,18,26,27,30,33,36,37,39 |
|
3.3 |
Logarithmic and Exponential Equations |
1,2,3 |
1,2,3,4,5,6,9,12,13 |