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.
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About this course
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.
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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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