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1 هـ1438-1437 الفصل الدراسي األول- المادة المطلوبة في االختبار النهائي لمقررات قسم العلوم األساسية 1- Math 130 Chapter Chapter P Preliminaries Chapter one Equations and Inequalities Chapter Two Functions Chapter Three Trigonometric Functions Chapter Four Linear System and introduction to Matrices Section P.1 Real Numbers System. P.2 Exponents and Radicals P.3 Polynomials. P.4 Factoring. P.5 Rational Expressions 1.1 Linear Equations in one Variable. 1.2 Linear Inequalities. 1.3 Equations and Inequalities Involving Absolute value 1.5 Quadratic Equations 2.1 Functions 2.2 Graphing Functions 3.1 Degree and Radian Measure 3.2 Unit Circle Approach 3.3 Right Triangle Approach 4.2 The Algebra of Matrices. 2 2- Math 1202 Chapter Chapter P Preliminaries Chapter one Equations and Inequalities Chapter Two Functions Chapter Three Trigonometric Functions Chapter Four Linear System and introduction to Matrices Section P.1 Real Numbers System. P.2 Exponents and Radicals P.3 Polynomials. P.4 Factoring. P.5 Rational Expressions 1.1 Linear Equations in one Variable. 1.2 Linear Inequalities. 1.3 Equations and Inequalities Involving Absolute value 1.5 Quadratic Equations 2.1 Functions 2.2 Graphing Functions 3.1 Degree and Radian Measure 3.2 Unit Circle Approach 3.3 Right Triangle Approach 4.2 The Algebra of Matrices. 3 3- Math 140 Chapter Section 1.1 Sets and Real Numbers Chapter one Basic Concepts in Algebra 1.2 Exponents and Radicals 1.3 Rational Expressions 1.4 Complex Numbers 2.1 Linear Equations and Applications Chapter Two Equations and Inequalities 2.2 Linear Inequalities 2.3 Equations and Inequalities Involving Absolute Value 2.4 Quadratic Equations and Applications 3.1 Functions 3.2 Polynomials and Rational Functions Chapter Three Functions 3.3 Graphs 3.4 Aids to Graphing 3.5 Combining Functions 3.6 Inverse Functions 4.1 Exponential Functions Chapter Four Exponential and Logarithmic 4.2 Logarithmic Functions functions 4.3 Exponential and Logarithmic Equations Chapter Five Trigonometric Functions 5.1 Angles and Radian Measure 5.2 Trigonometric Functions 5.3 Trigonometric Identities 4 4- Math 150 Chapter Section 1.1 Concept of Limit 1.2 Computation of Limits Chapter One Limits and Continuity of Functions 1.3 Infinite Limits 1.4 Limits at Infinity 1.5 Continuity and Consequences 1.6 Limits of Trigonometric Functions 2.1 The Derivative 2.2 Computation of Derivatives 2.3 The Chain Rule Chapter Two Derivatives of Functions 2.4 Derivatives of Trigonometric Functions 2.6 Derivatives of Logarithmic and Exponential Functions 2.7 Implicit Differentiation 2.8 The Mean Value Theorem 3.1 Indeterminate Forms and L'Hopital's Rule 3.2 Monotonic Behavior of Functions Chapter Three Applications of Derivative 3.3 Concavity and Inflection Points 3.4 Absolute Extremes 3.5 Optimization 3.6 Curve Sketching 5 5- Stat 140 Chapter Section 1.1 Statistics Concepts Chapter one Basic Concepts in Statistics 1.2 Variables and type of data 1.3 Sampling techniques 1.4 Observational and experimental studies 2.1 Raw Data Chapter Two Organizing and Graphing Data Chapter Three Numerical Descriptive Measures Chapter Four Basic Concepts in Probability and Counting Rule. 2.2 Organizing and Graphing Qualitative Data 2.3 Organizing and Graphing Quantitative Data 3.1 Measures of Central Tendency 3.2 Measures of Variation 3.3 Measures of Position 3.4 Box-and-Whisker Plot 4.1 Experiment, Outcome, and Elementary Events 4.2 Calculating Probability 4.3 Multiplication Rules and Conditional Probability 4.4 Bayes‘ Rule 4.5 Counting Rules 4.6 Probability and Counting Rules 5.1 Random Variables Chapter five Random Variable and Their Probability Distribution 5.2 Probability Distribution of a Discrete Random Variable 5.3 Mean and Standard Deviation of a Discrete Random Variable 5.4 Application to the Random Variables. The Binomial Distribution The Standard Normal Distribution 6 6- Stat 1102 Chapter Section 1.1 Statistics Concepts Chapter one Basic Concepts in Statistics 1.2 Variables and type of data 1.3 Sampling techniques 1.4 Observational and experimental studies 2.1 Raw Data Chapter Two Organizing and Graphing Data Chapter Three Numerical Descriptive Measures 2.2 Organizing and Graphing Qualitative Data 2.3 Organizing and Graphing Quantitative Data 3.1 Measures of Central Tendency 3.2 Measures of Variation 3.3 Measures of Position 4.1 Experiment, Outcome, and Elementary Events Chapter Four Basic Concepts in Probability and Counting Rule. 4.2 Calculating Probability 4.3 Multiplication Rules and Conditional Probability 4.5 Counting Rules 5.1 Random Variables Chapter five Random Variable and Their Probability Distribution 5.2 Probability Distribution of a Discrete Random Variable 5.3 Mean and Standard Deviation of a Discrete Random Variable