Real Analysis and Elementary Functions

From the study guide

Course Outline

  1. Logic, Quantifiers, and Proofs
  2. Sets, Relations, and Functions
  3. Integers, Combinations, and Real Numbers
  4. Order, Absolute Value, and Bounds
  5. Polynomials and Euclidean Division
  6. Logarithms, Exponentials, and Powers
  7. Trigonometric Functions and Equations
  8. Algebraic Form of Complex Numbers
  9. Conjugation and Complex Modulus
  10. Trigonometric Form and Roots
  11. Limits and Continuity
  12. Continuity and Classical Limits
  13. Asymptotes and Function Study
  14. Differentiation and Its Applications
  15. Vectors, Coordinates and Angles
  16. Oriented Angles and Orthonormal Bases
  17. Scalar Product and Determinant
  18. Lines and Circles in the Plane

1. Logic, Quantifiers, and Proofs

Key Concepts & Definitions

Read the full study guide →

Practice quiz preview

1. Which expression is a mathematical assertion?

2. When is the inclusive disjunction A or B true?

3. In the implication A ⇒ B, what is the logical relationship between A and B?

Take the quiz (67 questions) →

Flashcard preview

What is a mathematical assertion?

A statement that is unambiguously either true or false.

When is the conjunction A and B true?

Only when both A and B are true.

When is the inclusive disjunction A or B true?

When at least one of A and B is true.

What does the implication A ⇒ B require?

B to be true whenever A is true.

What is the contrapositive of A ⇒ B?

¬B ⇒ ¬A.

What does the existential quantifier ∃x mean?

At least one x satisfies the assertion.

See all 83 flashcards →

Frequently asked questions

What does the Real Analysis and Elementary Functions study guide cover?

It covers the core concepts of Real Analysis and Elementary Functions, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

Read the full study guide →

How many questions are in the Real Analysis and Elementary Functions quiz?

The practice quiz has 67 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

Take the quiz (67 questions) →

How do I study Real Analysis and Elementary Functions with flashcards?

There are 83 flashcards on Real Analysis and Elementary Functions, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

See all 83 flashcards →

Related classes

Turn your own class notes into a study guide

Upload a PDF or paste your notes. Revizly writes a study guide, a practice quiz and flashcards in about a minute.