Beginner

Basic Mathematics for Beginner College Students

Prepare for college math and calculus with integers, equations, real numbers, geometry, trigonometry, functions, complex numbers, series, matrices, and determinants.

72 video lessonsTotal length 72Lessons 72Assessments $10.00Quiz fee

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Basic Mathematics for Beginner College Students

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About this course

This Basic Mathematics course follows the client-provided preparation-before-calculus video list and the complete Basic Mathematics by Serge Lang playlist sequence where the PDF had gaps.

Students can register for free and watch each lesson video without a subscription. Quizzes unlock after the one-time $10 Quiz Proctor Fee is paid for this course. Students must complete all published Basic Mathematics quizzes with a score of 90% or better for the course to appear as completed on their transcript.

Build core knowledge through structured lessons and practical examples.
Confirm understanding with quizzes and saved best scores.
Track progress toward a verified course completion record.
Use resources and lesson notes for self-paced review.

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Apply the course concepts in a structured assignment.

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Complete quizzes and review feedback after each module.

72 quizzes

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Finish required assessments to unlock course completion.

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Mr Circuit Academy Faculty

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This course includes

72 ordered lessons 72 video lessons of learning 72 scored quizzes 72 downloadable resources Mobile and desktop access Completion transcript setting: Paid Quiz Proctor Fee: $10.00 one time

Course content

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1. 1.1 Integers (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

2. 1.2 Rules for Addition (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

3. 1.3 Rules for Multiplication (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

4. 1.4 Even and Odd Integers; Divisibility (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

5. 1.5 Rationals (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

6. 1.6 Multiplicative inverses (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

7. 2.1 Equations in two unknowns (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

8. 2.2 Equations in three unknowns (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

9. 3.1 Real numbers: Addition and subtraction (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

10. 3.2 Real numbers: Positivity (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

11. 3.3 Powers and roots (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

12. 3.4 Inequalities (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

13. 4 Quadratic Equations (Basic Mathematics) Quiz

Solve equations and inequalities using real-number properties, powers, roots, and quadratic relationships.

14. Logic 1 On reading books (Basic Mathematics) Quiz

Learn mathematical language, logic, notation, sets, indices, and how to read technical material carefully.

15. Logic 2 Logic (Basic Mathematics) Quiz

Learn mathematical language, logic, notation, sets, indices, and how to read technical material carefully.

16. Logic 3 Sets and Elements (Basic Mathematics) Quiz

Learn mathematical language, logic, notation, sets, indices, and how to read technical material carefully.

17. Logic 4 Indices (Basic Mathematics) Quiz

Learn mathematical language, logic, notation, sets, indices, and how to read technical material carefully.

18. Logic 5 Notation (Basic Mathematics) Quiz

Learn mathematical language, logic, notation, sets, indices, and how to read technical material carefully.

19. Part 2 Intuitive Geometry (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

20. 5.1 Distance (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

21. 5.2 Angles (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

22. 5.3 Pythagoras Theorem (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

23. 6.1 Some Standard Mappings of the Plane (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

24. 6.2 Isometry (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

25. 6.3 Composition of Isometries (Basic Mathematics) Quiz

Build a broad foundation for college mathematics before calculus.

26. 6.4 Inverse of Isometries (Basic Mathematics) Quiz

Build a broad foundation for college mathematics before calculus.

27. 6.5 Characterization of Isometries (Basic Mathematics) Quiz

Build a broad foundation for college mathematics before calculus.

28. 6.6 Congruence (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

29. 7.1 Area of a disc of radius r (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

30. 7.2 Circumference of a Circle of Radius r (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

31. 8.1 Coordinate Systems (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

32. 8.2 Distance Between Points (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

33. 8.3 Equation of a Circle (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

34. 8.4 Rational Points on a Circle (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

35. 9.1 Dilations and Reflections (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

36. 10.1 Segments (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

37. 10.2 Rays (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

38. 10.3 Lines (Basic Mathematics) Quiz

Study geometry foundations including distance, angles, Pythagoras, mappings, circles, coordinates, segments, rays, lines, dilations, and reflections.

39. 10.4 Ordinary Equation of the Line (Basic Mathematics) Quiz

Build a broad foundation for college mathematics before calculus.

40. 11.1 Radian Measure (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

41. 11.2 Sine and Cosine (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

42. 11.3 The Graphs (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

43. 11.4 Tangent (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

44. 11.5 Addition Formula (Basic Mathematics) Quiz

Build arithmetic foundations with integers, rationals, signs, divisibility, and inverse operations.

45. 11.6 Rotation (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

46. 12.1 The Straight Line Again (Basic Mathematics) Quiz

Understand conic sections and analytic geometry through lines, parabolas, ellipses, hyperbolas, and rotated hyperbolas.

47. 12.2 The Parabola (Basic Mathematics) Quiz

Understand conic sections and analytic geometry through lines, parabolas, ellipses, hyperbolas, and rotated hyperbolas.

48. 12.3 The Ellipse (Basic Mathematics) Quiz

Understand conic sections and analytic geometry through lines, parabolas, ellipses, hyperbolas, and rotated hyperbolas.

49. 12.4 The Hyperbola (Basic Mathematics) Quiz

Understand conic sections and analytic geometry through lines, parabolas, ellipses, hyperbolas, and rotated hyperbolas.

50. 12.5 Rotation of Hyperbolas (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

51. 13.1 Definition of a Function (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

52. 13.2 Polynomial Functions 1/2 (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

53. 13.2 Polynomial Functions 2/2 (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

54. 13.3 Graphs of Functions (Basic Mathematics) Quiz

Build trigonometry foundations with radians, sine, cosine, tangent, graphs, addition formulas, and rotation.

55. 13.4 Exponential Function (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

56. 13.5 Logarithms (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

57. 14.1 Definition of a Mapping (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

58. 14.2 Formalism of Mappings (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

59. 14.3 Permutations 1/3 (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

60. 14.3 Permutations 2/3 (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

61. 14.3 Permutations 3/3 (Basic Mathematics) Quiz

Study functions, polynomial functions, graphs, exponentials, logarithms, mappings, and permutations.

62. 15.1 The Complex Plane (Basic Mathematics) Quiz

Introduce complex numbers, the complex plane, and polar form.

63. 15.2 Polar Form (Basic Mathematics) Quiz

Introduce complex numbers, the complex plane, and polar form.

64. 16.1 Inductions (Basic Mathematics) Quiz

Study induction, summation notation, and geometric series.

65. 16.2 Summations (Basic Mathematics) Quiz

Study induction, summation notation, and geometric series.

66. 16.3 Geometric Series (Basic Mathematics) Quiz

Study induction, summation notation, and geometric series.

67. 17. Determinants / 17.1 Matrices (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

68. 17.2 Determinants of Order 2 (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

69. 17.3 Properties of 2x2 Determinants (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

70. 17.4 Determinants of Order 3 (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

71. 17.5 Properties of 3x3 Determinants (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

72. 17.6 Cramer's Rule (Basic Mathematics) Quiz

Learn matrices, determinants of order 2 and 3, determinant properties, and Cramer's Rule.

Skills you will gain

Mathematics Beginner Guided lessons Quizzes Transcript ready Downloadable resources

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