What Are Some Topics in Applied Mathematics?
Mathematics thinking relates to all the topics that it covers. So, if you know where you can productively apply your skills is the only time you can realize that you have become an expert. However, if you are pursuing your career in applied mathematics, you should know that you have opened the gateway to almost all the fields. This is because; applied mathematics in recent times is the core requirement in every field you go.
Whether it is about aerospace engineering, designing, you need to applied mathematics in every field. So, this makes it evident that it also covers many topics. All these topics that applied mathematics covers bring mathematical thinking to you. Skilled-based subjects include problem-solving, proving, reasoning, reflecting, selecting the tools, and many more. So, if you are pursuing your occupation in applied mathematics, here are some subjects that you will learn during the initial days. Watch free CBSE Class 12 Applied Math Classes.
Table of Contents
Sets, Relation, and Function
This topic covers all the problems that relate to sets and their representation. You can know how to represent the empty set, subset, equal set, power set ordered pair, and many more. You will also learn about the Cartesian product, relation, domain, co-domain, range, equivalence, functions logarithm, and many more.
Trigonometry
The next topic that you are going to learn is trigonometric functions. You will expand your skills about different quadrants, trigonometric ratios, allied angles, and many more. You will also determine how to calculate the trigonometric ratios of sum and the difference between the two angles. Besides, this topic also covers trigonometric ratios of submultiple and multiple angles.
Algebra
CBSE Applied Maths Algebra in mathematics is a vast subject. It helps you learn many things that include:
Complex Numbers Concept
In this topic, you can learn about the concept of iota. You will also get to know about imaginary numbers. You can perform arithmetic operations of complex numbers such as addition, subtraction, multiplication, and division. And can also learn about conjugate and modulus. Further, under complex numbers, you can even know how to represent numbers in geometric form.
Quadratic Equations
This will cover the solving of quadratic equations with non-real roots.
Arithmetic Progression
Here, you will learn about the nth term. You will sum the n terms of an AP.
Besides, there are some other elements that you can learn under algebra. And that includes geometric progression, partial fraction, and many more.
Linear Equation and Coordinate Geometry
In CBSE Applied Mathematics, you will read about the graphical solution of a linear equation. You have to solve it with two variables. You will also learn about the slopes of line, various form of the equation of a line that includes point-slope, slope-intercept, two-point forms, intercept form, normal form, general equation, and many more. Further, the topic will also educate you about conic sections like a parabola, standard equation of a circle, and many more.
Statistic and Commercial Mathematics
Here in this topic of applied mathematics, you can learn about the measures of dispersion range. You will also find out how to obtain mean deviation from the mean, from the median for discrete frequency, and many more. You will also learn about the standard deviation of discrete and continuous frequency.
Besides, there are few other things that you will learn as well. It includes finding out mortality rate, crude death rate, standardized death rate, cost of living index numbers, compound interest, profit, loss, and many more.
Permutation Combination, Binomial Theorem, and Probability
This is the area of the applied mathematics where you will learn about the fundamental principle of counting. It also includes factorials like n-n! NPR and NCR, and many more. The binomial theorem’s statement will help you learn positive integral indices, general, binomial term expansion, probability, multiplication theorem, and many more.
Now that you know about all the topics, here is all about the marks you will get.
- Numbers, quantification, numeral application- nine marks
- Algebra- ten marks
- Mathematical reasoning – six marks
- Calculus- ten marks
- Probability- ten marks
- Descriptive statistics- ten marks
- Basics of financial mathematics- eighteen marks
- Coordinate geometry- five marks
Conclusion
Wrapping up, these are some of the topics that you will read in applied mathematics. All these topics are equally essential and offer you core skills in applied mathematics. Now that you know all the topics, you can start reading to grab the real world’s opportunities.