Math is a core subject in many programs. Most students wonder, “Is discrete math hard compared to calculus?” Most students find discrete mathematics challenging largely because it involves non-continuous (discrete) objects, unlike most “traditional” math courses like calculus and statistics. As a result, students must “start from scratch” without relating to prior knowledge. In this blog, our math experts will explain why discrete mathematics is hard and what you can do about it. They also help with math assignments, tests and exams.
Is Discrete Math Hard?
Discrete uses techniques and concepts such as statistical methods, graph analysis, logic, computational mathematics, and probability statistics. Therefore, it can be difficult for students fresh from high school to master because it requires much effort and practice. Discrete mathematics is hard because it relies heavily on induction, invariants, optimality, examples, proof, and logic, which demand strong problem-solving and analytical skills.
What Does Typical Undergraduate Discrete Mathematics Entail?
An undergraduate discrete mathematics course typically covers the following topics:
- Induction
- Relations
- Proof Methods
- Elementary Graph Theory
- Formal Logic Notation
- Well Ordering
- Counting Principles
- Growth of Functions
- Discrete Probability
- Asymptotic Notation
- Permutations and Combinations
- Integer Congruence
Many students need to become more familiar with these topics, and this factor also contributes to the difficulty of the course. Understanding the rudiments of any particular topic makes it considerably easier to learn its advanced technicalities. Other topics students encounter rely on formulae memorization and correct placement of the values. Such topics require minimal abstract thought and analysis. Discrete mathematics is different, which is why most people struggle with it. Discrete mathematics requires strong problem-solving and critical thinking skills because students must apply their knowledge to familiar and unfamiliar contexts.
Is Discrete Math Hard? This is Why Some People Find it Hard
1. It Differs from Other Math Concepts
Discrete mathematics might seem clear-cut initially, but its intricacies reveal themselves as you learn and understand more. Unlike other fields like algebra, discrete mathematics mainly focuses on logic rather than learning and using theorems and formulae. Discrete math can be difficult for students unfamiliar with intricate terms such as modular, arithmetic, and combination theory. For instance, it is easier to learn and apply mathematical formulae to problems and get the desired answers than to learn and understand the logic behind formulae.
2. Cramming does not apply to discrete mathematics
People used to memorizing and cramming may find discrete mathematics hard because it requires an in-depth understanding of the principles behind discrete mathematics concepts. It requires little formula, logical analysis, and logical reasoning. Unfortunately, most people struggle with learning and understanding proof logic and steps when solving problems.
3. Computational algorithms increase the complexity of discrete mathematics
Many students need help understanding discrete mathematics mathematical processes because it demands a deep understanding of computational algorithms.
4. Is Discrete Math Hard? It is Probably the Teaching method
Like any other course, the method adopted to teach students determines how easily students grasp what is taught. Therefore, our tutors ensure that discrete mathematics is taught as a step-by-step explanation of the approaches to solving practical problems.
Is Discrete Math Hard? This is Why It Can Be Easy
1. Discrete mathematics is practical
Theoretical courses like linear algebra can be dull largely because they rarely apply in real-life situations. However, with discrete mathematics, students can apply it to exciting and intriguing everyday challenges. Sounds fascinating, right?
2. It enables students to think in mathematical terms and prove it
Classes such as algebra or calculus require memorizing long lists of formulae and equations, which can be hectic to remember later in life. Discrete mathematics introduces an important concept that other math concepts lack. That is, thinking in a precise and creative manner. Creativity is extremely important when solving discrete mathematics problems instead of the inflexible formulae in linear algebra and calculus.
3. Discrete mathematics gives you a competitive edge
Standing out in an interview or contest is essential in the academic world, and a three-piece suit won’t do it. It is your unique quality above other competitors or applicants. Discrete mathematics topics such as counting and probability help broaden your mindset in handling other math problems.
4. It is thrilling
Nobody wants to sit through a class with the lecturer scribbling down unfamiliar signs and lines of numbers. Unlike linear algebra and geometry, discrete mathematics is practical, interactive, and fun. Probability, counting, and number theory allow the lecturer to mingle with students excitedly while solving problems.
5. Attitude matters
Is discrete math hard? It’s probably your attitude. Statistics show that most people hate or fear math as a whole. Therefore, discrete mathematics is also a victim of this generalization. Inspirational and captivating lectures make it very easy to love the subject they are teaching. Concepts are simplified, allowing students to sail calmly through the course.
However, if the teacher is “hard” on you, interest slowly fades away, and you may develop a negative attitude or seem unenthusiastic towards the topic.
Why Should I Study Discrete Mathematics?
Discrete mathematics is integral for most STEM courses, including mathematics, computer science, and engineering. Computers are discrete machines because they work with 0s and 1s. Furthermore, discrete mathematics applies in various computer science spheres such as cryptography, machine learning, and big data and is integral to graphs, automata, and game theory.
How Long Does It Take to Learn Discrete Mathematics?
Students can learn the basics of discrete mathematics in 4-16 weeks of studying consistently. However, it is essential to note that discrete mathematics is a broad field that can take several years to master. Nevertheless, most undergraduate courses require only one or two introductory discrete mathematics courses, and students can easily study them over one or two semesters.
Most colleges and universities do not have courses that focus solely on discrete mathematics. Instead, it is considered a mathematics subset, and only a few degrees are allocated to learning discrete mathematics. STEM majors such as engineering and computer science gradually use discrete mathematics to build on complex theories and ideas. Therefore, most students understand the level of discrete mathematics required in their majors in just a few weeks. The best strategy to learn discrete mathematics involves consistent studying, mastering proofs, and reinforcement of concepts. Understanding mathematical proofs is important because they are integral to most STEM courses.
Is Discrete Math Hard for You? Get Help from Expert Mathematicians
An enthusiastic and positive attitude toward discrete mathematics will be explorative and relaxing. Learn the basics while gradually advancing to more complex areas. Discrete mathematics should be your best focus if you pursue a STEM course in college. Do you need discrete mathematics assignment help or exams? Our math experts are always ready to help you with math assignments and tests.
