Unity RPG-style Level System

using System;
using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class LevelSystem
{
    GameObject player;
    PlayerTamer playerTamer;
    const int MAX_LEVEL = 100;

    public LevelSystem(GameObject thePlayer)
    {
        player = thePlayer;
        playerTamer = player.GetComponentInChildren<PlayerTamer>();
    }

    public void SetStartingExperience()
    {
        playerTamer.lvl = 1;
        playerTamer.expn = GetExperienceNeeded(playerTamer.lvl);
        return;
    }

    public void AddExperience(int amount)
    {
        playerTamer.exp += amount;
        playerTamer.totalExp += amount;
        ExperienceCheck();
    }

    private void ExperienceCheck()
    {
        if(playerTamer.exp >= playerTamer.expn)
        {
            LevelUp();
        }
        else
        {
            return;
        }
    }

    private void LevelUp()
    {
        if (playerTamer.lvl == MAX_LEVEL)
        {
            return;
        }
        if (playerTamer.lvl != MAX_LEVEL && playerTamer.exp >= playerTamer.expn)
        {
            int ap = 3;
            playerTamer.lvl += 1;
            playerTamer.exp -= playerTamer.expn;
            playerTamer.expn = GetExperienceNeeded(playerTamer.lvl);
            playerTamer.attributePoints += ap;
            Debug.Log("Player gained a level! Player is now Level " + playerTamer.lvl);
            ExperienceCheck();
        }
    }

    private int GetExperienceNeeded(int level)
    {
        double baseXP = 500.0;
        double exponent = 2.0;
        level++;
        int newExp = (int)Math.Ceiling(baseXP * (Math.Pow((double)level, exponent)) - (baseXP * (double)level));
        return newExp;
    }
}