MathematicsBeginner

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 lessons72 quizzes72 video lessons

Free video lessons. Optional quiz access: $10.00 one time. No subscription.

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.

One lesson at a time

Your learning journey

72 lessons · 72 assessments

011.1 Integers (Basic Mathematics)Video lesson · Quiz

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

021.2 Rules for Addition (Basic Mathematics)Video lesson · Quiz

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

031.3 Rules for Multiplication (Basic Mathematics)Video lesson · Quiz

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

041.4 Even and Odd Integers; Divisibility (Basic Mathematics)Video lesson · Quiz

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

051.5 Rationals (Basic Mathematics)Video lesson · Quiz

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

061.6 Multiplicative inverses (Basic Mathematics)Video lesson · Quiz

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

072.1 Equations in two unknowns (Basic Mathematics)Video lesson · Quiz

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

082.2 Equations in three unknowns (Basic Mathematics)Video lesson · Quiz

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

093.1 Real numbers: Addition and subtraction (Basic Mathematics)Video lesson · Quiz

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

103.2 Real numbers: Positivity (Basic Mathematics)Video lesson · Quiz

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

113.3 Powers and roots (Basic Mathematics)Video lesson · Quiz

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

123.4 Inequalities (Basic Mathematics)Video lesson · Quiz

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

134 Quadratic Equations (Basic Mathematics)Video lesson · Quiz

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

14Logic 1 On reading books (Basic Mathematics)Video lesson · Quiz

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

15Logic 2 Logic (Basic Mathematics)Video lesson · Quiz

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

16Logic 3 Sets and Elements (Basic Mathematics)Video lesson · Quiz

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

17Logic 4 Indices (Basic Mathematics)Video lesson · Quiz

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

18Logic 5 Notation (Basic Mathematics)Video lesson · Quiz

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

19Part 2 Intuitive Geometry (Basic Mathematics)Video lesson · Quiz

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

205.1 Distance (Basic Mathematics)Video lesson · Quiz

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

215.2 Angles (Basic Mathematics)Video lesson · Quiz

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

225.3 Pythagoras Theorem (Basic Mathematics)Video lesson · Quiz

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

236.1 Some Standard Mappings of the Plane (Basic Mathematics)Video lesson · Quiz

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

246.2 Isometry (Basic Mathematics)Video lesson · Quiz

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

256.3 Composition of Isometries (Basic Mathematics)Video lesson · Quiz

Build a broad foundation for college mathematics before calculus.

266.4 Inverse of Isometries (Basic Mathematics)Video lesson · Quiz

Build a broad foundation for college mathematics before calculus.

276.5 Characterization of Isometries (Basic Mathematics)Video lesson · Quiz

Build a broad foundation for college mathematics before calculus.

286.6 Congruence (Basic Mathematics)Video lesson · Quiz

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

297.1 Area of a disc of radius r (Basic Mathematics)Video lesson · Quiz

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

307.2 Circumference of a Circle of Radius r (Basic Mathematics)Video lesson · Quiz

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

318.1 Coordinate Systems (Basic Mathematics)Video lesson · Quiz

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

328.2 Distance Between Points (Basic Mathematics)Video lesson · Quiz

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

338.3 Equation of a Circle (Basic Mathematics)Video lesson · Quiz

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

348.4 Rational Points on a Circle (Basic Mathematics)Video lesson · Quiz

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

359.1 Dilations and Reflections (Basic Mathematics)Video lesson · Quiz

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

3610.1 Segments (Basic Mathematics)Video lesson · Quiz

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

3710.2 Rays (Basic Mathematics)Video lesson · Quiz

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

3810.3 Lines (Basic Mathematics)Video lesson · Quiz

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

3910.4 Ordinary Equation of the Line (Basic Mathematics)Video lesson · Quiz

Build a broad foundation for college mathematics before calculus.

4011.1 Radian Measure (Basic Mathematics)Video lesson · Quiz

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

4111.2 Sine and Cosine (Basic Mathematics)Video lesson · Quiz

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

4211.3 The Graphs (Basic Mathematics)Video lesson · Quiz

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

4311.4 Tangent (Basic Mathematics)Video lesson · Quiz

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

4411.5 Addition Formula (Basic Mathematics)Video lesson · Quiz

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

4511.6 Rotation (Basic Mathematics)Video lesson · Quiz

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

4612.1 The Straight Line Again (Basic Mathematics)Video lesson · Quiz

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

4712.2 The Parabola (Basic Mathematics)Video lesson · Quiz

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

4812.3 The Ellipse (Basic Mathematics)Video lesson · Quiz

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

4912.4 The Hyperbola (Basic Mathematics)Video lesson · Quiz

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

5012.5 Rotation of Hyperbolas (Basic Mathematics)Video lesson · Quiz

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

5113.1 Definition of a Function (Basic Mathematics)Video lesson · Quiz

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

5213.2 Polynomial Functions 1/2 (Basic Mathematics)Video lesson · Quiz

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

5313.2 Polynomial Functions 2/2 (Basic Mathematics)Video lesson · Quiz

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

5413.3 Graphs of Functions (Basic Mathematics)Video lesson · Quiz

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

5513.4 Exponential Function (Basic Mathematics)Video lesson · Quiz

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

5613.5 Logarithms (Basic Mathematics)Video lesson · Quiz

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

5714.1 Definition of a Mapping (Basic Mathematics)Video lesson · Quiz

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

5814.2 Formalism of Mappings (Basic Mathematics)Video lesson · Quiz

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

5914.3 Permutations 1/3 (Basic Mathematics)Video lesson · Quiz

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

6014.3 Permutations 2/3 (Basic Mathematics)Video lesson · Quiz

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

6114.3 Permutations 3/3 (Basic Mathematics)Video lesson · Quiz

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

6215.1 The Complex Plane (Basic Mathematics)Video lesson · Quiz

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

6315.2 Polar Form (Basic Mathematics)Video lesson · Quiz

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

6416.1 Inductions (Basic Mathematics)Video lesson · Quiz

Study induction, summation notation, and geometric series.

6516.2 Summations (Basic Mathematics)Video lesson · Quiz

Study induction, summation notation, and geometric series.

6616.3 Geometric Series (Basic Mathematics)Video lesson · Quiz

Study induction, summation notation, and geometric series.

6717. Determinants / 17.1 Matrices (Basic Mathematics)Video lesson · Quiz

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

6817.2 Determinants of Order 2 (Basic Mathematics)Video lesson · Quiz

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

6917.3 Properties of 2x2 Determinants (Basic Mathematics)Video lesson · Quiz

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

7017.4 Determinants of Order 3 (Basic Mathematics)Video lesson · Quiz

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

7117.5 Properties of 3x3 Determinants (Basic Mathematics)Video lesson · Quiz

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

7217.6 Cramer's Rule (Basic Mathematics)Video lesson · Quiz

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

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Notes & resources

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