Advanced Mathematics, First Semester, 2008

The course focuses on developing mathematical thinking and problem-solving skills, with practical applications that help students understand mathematics in an organized and meaningful way and prepare them for the next academic stages.

Created at: Tuesday 03 February 2026 Last updated: Wednesday 01 April 2026
Advanced Mathematics, First Semester, 2008
JD
50.00
أحمد خليل

أحمد خليل

Total Sections: 5

video_all_count: 71

Course Duration: 53:59:26

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Advanced Mathematics, First Semester, 2008

Advanced Mathematics, First Semester, 2008

The course focuses on developing mathematical thinking and problem-solving skills, with practical applications that help students understand mathematics in an organized and meaningful way and prepare them for the next academic stages.

Course Content

First lesson: Foundations of advanced mathematics: Number sets and priorities (01:20:29) Free
Lesson 2: Advanced Math Foundations: Fractions and Fraction Cases (00:56:39) Free
Lesson 3: Advanced Math Foundations: Exponents and Roots (01:08:23) Free
Lesson 4: Foundations of Advanced Mathematics: Solving Linear Equations (00:51:00) Free
Lesson Five: Foundations of Advanced Mathematics: Algebraic Expressions (00:49:28) Free
الحصة السادسة: تأسيس رياضيات متقدم: تحليل المقادير الجبرية (العوامل) (00:31:35) Free
Lesson Seven: Foundations of Advanced Mathematics: Solving Equations (01:06:46) Free
Lesson 1: Explanation of the Remainder and Factor Theorems - Methods of Factoring Polynomials (01:12:10) Free
Lesson 2: Explanation of the Remainder and Factor Theorems - Remainder Theory and Factor Theory (00:33:01) Free
Lesson 3: Explanation of the Remainder and Factor Theorems - Rational Zeros (00:41:10) Free
Lesson 4: Explanation of the Remainder and Factor Theorems - Practical Problems / Unknowns (00:53:23) Free
Lesson 5: Solving questions from the lesson on the remainder and factor theorems (student book) (01:24:35) Free
Lesson 6: Solving Higher-Order Thinking Skills Questions - Lesson on the Remainder and Factor Theorems (00:22:12) Free
Lesson 7: Solving questions from the lesson on the remainder and factor theorems (workbook) (00:34:28) Free
Lesson 8: Explanation of the lesson on partial fractions (Introduction + First Case) (00:47:29) Free
Lesson 9: Explanation of the lesson on partial fractions (second case + third case) (00:39:45) Free
Lesson 10: Explanation of the lesson on partial fractions (Case 4: Long division + practical problems) (00:43:15) Free
Lesson 11: Solving the questions in the student book (lesson on partial fractions) (01:25:20) Free
Lesson 12: Solving higher-order thinking skills questions (lesson on partial fractions) (00:26:26) Free
Lesson 13: Solving the exercises in the workbook (lesson on partial fractions) (00:54:00) Free
Lesson 14: Solving Unit Questions (00:54:22) Free
Comprehensive exam on the topic of partial fractions
Lesson 15: The strongest foundation for trigonometric identities (Unit Two) (01:45:07) Free
Lesson 16: Trigonometric Identities 1 (Basic Identities + Pythagorean Identity) (00:59:05) Free
Lesson 17: Trigonometric Identities 1 (Sum and Subtraction Identities) (00:22:29) Free
Lesson 18: Trigonometric Identities 1 (Simplification + Proof) (00:49:26) Free
Lesson 19: Trigonometric Identities 1 (Part 4) (00:40:30) Free
Lesson 20: Trigonometric Identities 1 (Solving Lesson Questions - Student Book) (01:01:31) Free
Lesson 21: Trigonometric Identities 1 (Solving Lesson Questions - Workbook) (00:41:46) Free
Comprehensive exam on the lesson of trigonometric identities 1
Lesson 22: Trigonometric Identities 2 (Part 1 - Double Angle Identities) (00:38:17) Free
Lesson 23: Trigonometric Identities 2 (Part Two - Power Reduction Identities) (00:32:30) Free
Lesson 24: Trigonometric Identities 2 (Part 3 - Half-Angle Identities) (00:46:14) Free
Lesson 25: Trigonometric Identities 2 (Part 4 - Identities for converting addition and subtraction into multiplication) (00:32:19) Free
Lesson 26: Trigonometric Identities 2 (Part 5 - Proofs) (00:19:03) Free
Lesson 27: Trigonometric Identities 2 (Solving Lesson Questions - Student Book) (01:55:35) Free
Lesson 28: Trigonometric Identities 2 (Solving Lesson Questions - Workbook) (00:35:36) Free
Comprehensive exam on the lesson of trigonometric identities 2
Lesson 29: Solving Trigonometric Equations (Lesson 3 - Part 1) (00:58:48) Free
Lesson 30: Solving Trigonometric Equations (Lesson 3 - Part 2) (00:38:13) Free
Lesson 31: Solving Trigonometric Equations (Lesson 3 - Part 3) (00:46:47) Free
Lesson 32: Solving Trigonometric Equations (Lesson 3 - Part 4) (00:27:17) Free
Lesson 33: Solving Trigonometric Equations (Lesson 3 - Part 5) (00:12:20) Free
Lesson 34: Solving Trigonometric Equations (Solving Student Book Questions) (01:22:36) Free
Lesson 35: Solving trigonometric equations (Solving exercises from the workbook) (01:11:11) Free
Comprehensive exam on the lesson of solving trigonometric equations
Lesson 36: Unit Three (Foundations of Derivation) (01:08:16) Free
Lesson 37: Unit 3 (Derivatives of Special Functions - Part 1) (00:44:29) Free
Lesson 38: Unit 3 (Derivative of Special Functions - Part 2 - Geometric Interpretation) (00:46:10) Free
Lesson 39: Unit 3 (Derivative of Special Functions - Part 3 - Physical Explanation) (00:42:33) Free
Lesson 40: Unit 3 (Derivative of Special Functions - Part 4 - Harmonic Motion) (00:22:16) Free
Lesson 41: Unit 3 (Solving Student Book Questions - Lesson 1) (00:24:41) Free
Lesson 42: Unit 3 (Solving the exercises in the book - Lesson 1) (00:12:58) Free
Comprehensive exam on the lesson of the derivative of special functions
Lesson 43: Unit 3 (Solving Higher-Order Thinking Skills Questions - Lesson 1) (00:16:35) Free
Lesson 44: Unit 3 (Derivative of Multiplication and Division Part 1 - Lesson Two) (00:35:23) Free
Lesson 45: Unit 3 (Derivative of Multiplication and Division Part 2 - Lesson Two) (00:15:17) Free
Lesson 46: Unit 3 (Solving Student Book Questions - Lesson Two) (00:44:00) Free
A comprehensive exam on the lesson of product and division derivatives and higher derivatives
Lesson 47: Unit 3 (Chain Rule Part 1 - Lesson 3) (00:26:13) Free
Lesson 48: Unit 3 (Chain Rule Part 2 - Lesson 3) (00:33:47) Free
Lesson 49: Unit 3 (Solving Student Book Questions - Lesson Three) (00:54:05) Free
Comprehensive exam on the chain rule lesson
Lesson 50: Unit 3 (Implicit Derivation Part 1 - Lesson 4) (00:44:12) Free
Lesson 51: Unit 3 (Implicit Derivation Part 2 - Lesson 4) (00:17:40) Free
Lesson 52: Unit 3 (Solving Student Book Questions - Lesson Four) (00:59:57) Free
Comprehensive exam on the topic of implicit differentiation
Lesson 53: Unit 4 (Complex Numbers Part 1 - Lesson 1) (00:41:39) Free
Lesson 54: Unit 4 (Complex Numbers Part 2 - Lesson 1) (00:54:14) Free
Lesson 55: Unit 4 (Solving Student Book Questions - Lesson 1) (00:33:47) Free
Comprehensive exam on the lesson of complex numbers
Lesson 56: Unit 4 (Operations on Complex Numbers Part 1 - Lesson 2) (00:29:35) Free
Lesson 57: Unit 4 (Operations on Complex Numbers Part 2 - Lesson Two) (00:24:38) Free
Lesson 58: Unit 4 (Operations on Complex Numbers Part 3 - Lesson Two) (00:28:20) Free
Comprehensive exam on the lesson of operations on complex numbers
Lesson 59: Unit 4 (Geometric Locus Part 1 - Lesson 3) (01:00:01) Free
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